H[infinite] functional calculus and square functions on noncommutative L p -spaces:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Paris
Société Mathématique de France
2006
|
| Schriftenreihe: | Astérisque
305 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 138 S. |
| ISBN: | 9782856291894 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV021772271 | ||
| 003 | DE-604 | ||
| 005 | 20120404 | ||
| 007 | t | ||
| 008 | 061018s2006 |||| 00||| eng d | ||
| 020 | |a 9782856291894 |9 978-2-85629-189-4 | ||
| 035 | |a (OCoLC)75960588 | ||
| 035 | |a (DE-599)BVBBV021772271 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-19 |a DE-824 |a DE-29T |a DE-83 |a DE-355 | ||
| 050 | 0 | |a QA323 | |
| 082 | 0 | |a 515.73 |2 22 | |
| 084 | |a SI 832 |0 (DE-625)143196: |2 rvk | ||
| 084 | |a 47A60 |2 msc | ||
| 100 | 1 | |a Junge, Marius |d 1962- |e Verfasser |0 (DE-588)112432689 |4 aut | |
| 245 | 1 | 0 | |a H[infinite] functional calculus and square functions on noncommutative L p -spaces |c Marius Junge ; Christian Le Merdy ; Quanhua Xu |
| 264 | 1 | |a Paris |b Société Mathématique de France |c 2006 | |
| 300 | |a VI, 138 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Astérisque |v 305 | |
| 650 | 7 | |a Análise funcional |2 larpcal | |
| 650 | 7 | |a C* álgebras |2 larpcal | |
| 650 | 7 | |a Functionaalanalyse |2 gtt | |
| 650 | 7 | |a Kwadratische systemen |2 gtt | |
| 650 | 7 | |a Niet-commutatieve structuren |2 gtt | |
| 650 | 7 | |a Operadores (teoria) |2 larpcal | |
| 650 | 4 | |a Function spaces | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Lp spaces | |
| 650 | 4 | |a Noncommutative function spaces | |
| 650 | 0 | 7 | |a Quadratische Funktion |0 (DE-588)4343047-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtkommutativer Lp-Raum |0 (DE-588)4528421-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a H-unendlich-Kalkül |0 (DE-588)4846555-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a H-unendlich-Kalkül |0 (DE-588)4846555-0 |D s |
| 689 | 0 | 1 | |a Quadratische Funktion |0 (DE-588)4343047-8 |D s |
| 689 | 0 | 2 | |a Nichtkommutativer Lp-Raum |0 (DE-588)4528421-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Le Merdy, Christian |e Verfasser |0 (DE-588)1011429284 |4 aut | |
| 700 | 1 | |a Xu, Quanhua |e Verfasser |4 aut | |
| 830 | 0 | |a Astérisque |v 305 |w (DE-604)BV002579439 |9 305 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014985186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014985186 | ||
Datensatz im Suchindex
| _version_ | 1804135640668831744 |
|---|---|
| adam_text | CONTENTS
1.
Introduction
............................................................... 1
2. Noncommutative
Hubert space valued
Ľ -spaces .....................
7
2.
A. Noncoiniimtativo
Ľ -spaccs
............................................. 7
2.
В.
Tensor products
........................................................ 9
2.
С.
Vector-valued functions
................................................. 15
2.
D.
Completely positive maps and completely bounded maps
............... 21
3.
Bounded and completely bounded Hx functional calculus
.......... 25
3.A. Hx functional calculus
................................................. 25
3.B. Completely bounded H°° functional calculus
........................... 29
3.C. Dilations
................................................................ 32
4.
Rademacher boundedness and related notions
........................ 35
4.A. Column boundedness and row boundedness
............................. 35
4.B. Col-sectorial, Row-sectorial, and Rad-sectorial operators
................ 42
4.C. Some operator valued singular integrals
................................. 44
5.
Noncommutative diffusion semigroups
................................. 49
6.
Square functions on noncommutative
Ľ -spaces
...................... 59
6.
A. Square functions and their integral representations
..................... 59
6.B. Equivalence of square functions
......................................... 64
7.
Hx functional calculus and square function estimates
............... 69
8.
Various examples of multipliers
......................................... 79
8.
A. Left and right multiplication operators
................................. 79
8.B. Hamiltonians
........................................................... 83
8.C.
Schur
multipliers on 5P
................................................. 91
vi
CONTENTS
9.
Semigroups on g-deformed
von
Neumann algebras
................... 95
9-А.
The case
-1 <
q
< 1 .................................................... 95
9.
В.
Clifford algebras
........................................................ 99
10.
A noncommutative
Poisson
semigroup
................................103
10.
A. Definitions
.............................................................103
10.
В
.
Dilation by martingales
................................................104
10.
C. Square function estimates for
noncommutative
martingales
............108
10.
D. Functional calculus for the noncommut
ative
Poisson
semigroup
.......113
11.
The
non tracial
case
.....................................................121
A. Comparing row and column square functions
........................127
B. Measurable functions in LP(L2)
.........................................131
Bibliography
..................................................................133
ASTÉRISQUE
305
|
| adam_txt |
CONTENTS
1.
Introduction
. 1
2. Noncommutative
Hubert space valued
Ľ'-spaces .
7
2.
A. Noncoiniimtativo
Ľ'-spaccs
. 7
2.
В.
Tensor products
. 9
'2.
С.
Vector-valued functions
. 15
2.
D.
Completely positive maps and completely bounded maps
. 21
3.
Bounded and completely bounded Hx functional calculus
. 25
3.A. Hx functional calculus
. 25
3.B. Completely bounded H°° functional calculus
. 29
3.C. Dilations
. 32
4.
Rademacher boundedness and related notions
. 35
4.A. Column boundedness and row boundedness
. 35
4.B. Col-sectorial, Row-sectorial, and Rad-sectorial operators
. 42
4.C. Some operator valued singular integrals
. 44
5.
Noncommutative diffusion semigroups
. 49
6.
Square functions on noncommutative
Ľ'-spaces
. 59
6.
A. Square functions and their integral representations
. 59
6.B. Equivalence of square functions
. 64
7.
Hx functional calculus and square function estimates
. 69
8.
Various examples of multipliers
. 79
8.
A. Left and right multiplication operators
. 79
8.B. Hamiltonians
. 83
8.C.
Schur
multipliers on 5P
. 91
vi
CONTENTS
9.
Semigroups on g-deformed
von
Neumann algebras
. 95
9-А.
The case
-1 <
q
< 1 . 95
9.
В.
Clifford algebras
. 99
10.
A noncommutative
Poisson
semigroup
.103
10.
A. Definitions
.103
10.
В
.
Dilation by martingales
.104
10.
C. Square function estimates for
noncommutative
martingales
.108
10.
D. Functional calculus for the noncommut
ative
Poisson
semigroup
.113
11.
The
non tracial
case
.121
A. Comparing row and column square functions
.127
B. Measurable functions in LP(L2)
.131
Bibliography
.133
ASTÉRISQUE
305 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Junge, Marius 1962- Le Merdy, Christian Xu, Quanhua |
| author_GND | (DE-588)112432689 (DE-588)1011429284 |
| author_facet | Junge, Marius 1962- Le Merdy, Christian Xu, Quanhua |
| author_role | aut aut aut |
| author_sort | Junge, Marius 1962- |
| author_variant | m j mj m c l mc mcl q x qx |
| building | Verbundindex |
| bvnumber | BV021772271 |
| callnumber-first | Q - Science |
| callnumber-label | QA323 |
| callnumber-raw | QA323 |
| callnumber-search | QA323 |
| callnumber-sort | QA 3323 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 832 |
| ctrlnum | (OCoLC)75960588 (DE-599)BVBBV021772271 |
| dewey-full | 515.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.73 |
| dewey-search | 515.73 |
| dewey-sort | 3515.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02263nam a2200565 cb4500</leader><controlfield tag="001">BV021772271</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120404 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">061018s2006 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9782856291894</subfield><subfield code="9">978-2-85629-189-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)75960588</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021772271</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA323</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.73</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 832</subfield><subfield code="0">(DE-625)143196:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">47A60</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Junge, Marius</subfield><subfield code="d">1962-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)112432689</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">H[infinite] functional calculus and square functions on noncommutative L p -spaces</subfield><subfield code="c">Marius Junge ; Christian Le Merdy ; Quanhua Xu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Paris</subfield><subfield code="b">Société Mathématique de France</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 138 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Astérisque</subfield><subfield code="v">305</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Análise funcional</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">C* álgebras</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functionaalanalyse</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Kwadratische systemen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Niet-commutatieve structuren</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Operadores (teoria)</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Function spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lp spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Noncommutative function spaces</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quadratische Funktion</subfield><subfield code="0">(DE-588)4343047-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtkommutativer Lp-Raum</subfield><subfield code="0">(DE-588)4528421-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">H-unendlich-Kalkül</subfield><subfield code="0">(DE-588)4846555-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">H-unendlich-Kalkül</subfield><subfield code="0">(DE-588)4846555-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Quadratische Funktion</subfield><subfield code="0">(DE-588)4343047-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Nichtkommutativer Lp-Raum</subfield><subfield code="0">(DE-588)4528421-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Le Merdy, Christian</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1011429284</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Xu, Quanhua</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Astérisque</subfield><subfield code="v">305</subfield><subfield code="w">(DE-604)BV002579439</subfield><subfield code="9">305</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014985186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014985186</subfield></datafield></record></collection> |
| id | DE-604.BV021772271 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:38:52Z |
| indexdate | 2024-07-09T20:43:43Z |
| institution | BVB |
| isbn | 9782856291894 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014985186 |
| oclc_num | 75960588 |
| open_access_boolean | |
| owner | DE-384 DE-19 DE-BY-UBM DE-824 DE-29T DE-83 DE-355 DE-BY-UBR |
| owner_facet | DE-384 DE-19 DE-BY-UBM DE-824 DE-29T DE-83 DE-355 DE-BY-UBR |
| physical | VI, 138 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Société Mathématique de France |
| record_format | marc |
| series | Astérisque |
| series2 | Astérisque |
| spelling | Junge, Marius 1962- Verfasser (DE-588)112432689 aut H[infinite] functional calculus and square functions on noncommutative L p -spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu Paris Société Mathématique de France 2006 VI, 138 S. txt rdacontent n rdamedia nc rdacarrier Astérisque 305 Análise funcional larpcal C* álgebras larpcal Functionaalanalyse gtt Kwadratische systemen gtt Niet-commutatieve structuren gtt Operadores (teoria) larpcal Function spaces Functional analysis Lp spaces Noncommutative function spaces Quadratische Funktion (DE-588)4343047-8 gnd rswk-swf Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd rswk-swf H-unendlich-Kalkül (DE-588)4846555-0 gnd rswk-swf H-unendlich-Kalkül (DE-588)4846555-0 s Quadratische Funktion (DE-588)4343047-8 s Nichtkommutativer Lp-Raum (DE-588)4528421-0 s DE-604 Le Merdy, Christian Verfasser (DE-588)1011429284 aut Xu, Quanhua Verfasser aut Astérisque 305 (DE-604)BV002579439 305 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014985186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Junge, Marius 1962- Le Merdy, Christian Xu, Quanhua H[infinite] functional calculus and square functions on noncommutative L p -spaces Astérisque Análise funcional larpcal C* álgebras larpcal Functionaalanalyse gtt Kwadratische systemen gtt Niet-commutatieve structuren gtt Operadores (teoria) larpcal Function spaces Functional analysis Lp spaces Noncommutative function spaces Quadratische Funktion (DE-588)4343047-8 gnd Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd H-unendlich-Kalkül (DE-588)4846555-0 gnd |
| subject_GND | (DE-588)4343047-8 (DE-588)4528421-0 (DE-588)4846555-0 |
| title | H[infinite] functional calculus and square functions on noncommutative L p -spaces |
| title_auth | H[infinite] functional calculus and square functions on noncommutative L p -spaces |
| title_exact_search | H[infinite] functional calculus and square functions on noncommutative L p -spaces |
| title_exact_search_txtP | H[infinite] functional calculus and square functions on noncommutative L p -spaces |
| title_full | H[infinite] functional calculus and square functions on noncommutative L p -spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu |
| title_fullStr | H[infinite] functional calculus and square functions on noncommutative L p -spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu |
| title_full_unstemmed | H[infinite] functional calculus and square functions on noncommutative L p -spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu |
| title_short | H[infinite] functional calculus and square functions on noncommutative L p -spaces |
| title_sort | h infinite functional calculus and square functions on noncommutative l p spaces |
| topic | Análise funcional larpcal C* álgebras larpcal Functionaalanalyse gtt Kwadratische systemen gtt Niet-commutatieve structuren gtt Operadores (teoria) larpcal Function spaces Functional analysis Lp spaces Noncommutative function spaces Quadratische Funktion (DE-588)4343047-8 gnd Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd H-unendlich-Kalkül (DE-588)4846555-0 gnd |
| topic_facet | Análise funcional C* álgebras Functionaalanalyse Kwadratische systemen Niet-commutatieve structuren Operadores (teoria) Function spaces Functional analysis Lp spaces Noncommutative function spaces Quadratische Funktion Nichtkommutativer Lp-Raum H-unendlich-Kalkül |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014985186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002579439 |
| work_keys_str_mv | AT jungemarius hinfinitefunctionalcalculusandsquarefunctionsonnoncommutativelpspaces AT lemerdychristian hinfinitefunctionalcalculusandsquarefunctionsonnoncommutativelpspaces AT xuquanhua hinfinitefunctionalcalculusandsquarefunctionsonnoncommutativelpspaces |