H functional calculus and square functions on noncommutative Lp-spaces:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Paris
Soc. Mathématique de France
2006
|
Schriftenreihe: | Astérisque
305 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VI, 138 S. |
ISBN: | 9782856291894 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | ASTERISQUE 305 H FUNCTIONAL CALCULUS AND SQUARE FUNCTIONS ON
NONCOMMUTATIVE Z/-SPACES MARIUS JUNGE CHRISTIAN LE MERDY QUANHUA XU
SOCIETE MATHEMATIQUE DE FRANCE 2006 PUBLIE AVEC LE CONCOURS DU CENTRE
NATIONAL DE LA RECHERCHE SCIENTIFIQUE CONTENTS 1. INTRODUCTION 1 2.
NONCOMMUTATIVE HILBERT SPACE VALUED L P -SPACES 7 2.A. NONCOMMUTATIVE L
P -SPACES 7 2.B. TENSOR PRODUCTS 9 2.C. VECTOR-VALUED FUNCTIONS 15 2.D.
COMPLETELY POSITIVE MAPS AND COMPLETELY BOUNDED MAPS 21 3. BOUNDED AND
COMPLETELY BOUNDED H FUNCTIONAL CALCULUS 25 3.A. H 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 L P -SPACES 59 6.A. SQUARE FUNCTIONS
AND THEIR INTEGRAL REPRESENTATIONS 59 6.B. EQUIVALENCE OF SQUARE
FUNCTIONS 64 7. H 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 S P 91 VI
CONTENTS 9. SEMIGROUPS ON G-DEFORMED VON NEUMANN ALGEBRAS 95 9.A. THE
CASE -1 Q 1 95 9.B. CLIFFORD ALGEBRAS 99 10. A NONCOMMUTATIVE
POISSON SEMIGROUP 103 10.A. DEFINITIONS 103 10.B. DILATION BY
MARTINGALES 104 10.C. SQUARE FUNCTION ESTIMATES FOR NONCOMMUTATIVE
MARTINGALES 108 10.D. FUNCTIONAL CALCULUS FOR THE NONCOMMUTATIVE POISSON
SEMIGROUP 113 11. THE NON TRACIAL CASE 121 A. COMPARING ROW AND COLUMN
SQUARE FUNCTIONS 127 B. MEASURABLE FUNCTIONS IN L P (L 2 ) 131
BIBLIOGRAPHY 133 ASTBRISQUE 305
|
any_adam_object | 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 | BV025417605 |
ctrlnum | (OCoLC)605610703 (DE-599)BVBBV025417605 |
format | Book |
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id | DE-604.BV025417605 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T22:33:52Z |
institution | BVB |
isbn | 9782856291894 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020037315 |
oclc_num | 605610703 |
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owner | DE-11 DE-188 |
owner_facet | DE-11 DE-188 |
physical | VI, 138 S. |
publishDate | 2006 |
publishDateSearch | 2006 |
publishDateSort | 2006 |
publisher | Soc. Mathématique de France |
record_format | marc |
series | Astérisque |
series2 | Astérisque |
spelling | Junge, Marius 1962- Verfasser (DE-588)112432689 aut H functional calculus and square functions on noncommutative Lp-spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu Paris Soc. Mathématique de France 2006 VI, 138 S. txt rdacontent n rdamedia nc rdacarrier Astérisque 305 Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd rswk-swf Quadratische Funktion (DE-588)4343047-8 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 1\p DE-604 Le Merdy, Christian Verfasser (DE-588)1011429284 aut Xu, Quanhua Verfasser aut Astérisque 305 (DE-604)BV002579439 305 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020037315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Junge, Marius 1962- Le Merdy, Christian Xu, Quanhua H functional calculus and square functions on noncommutative Lp-spaces Astérisque Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd Quadratische Funktion (DE-588)4343047-8 gnd H-unendlich-Kalkül (DE-588)4846555-0 gnd |
subject_GND | (DE-588)4528421-0 (DE-588)4343047-8 (DE-588)4846555-0 |
title | H functional calculus and square functions on noncommutative Lp-spaces |
title_auth | H functional calculus and square functions on noncommutative Lp-spaces |
title_exact_search | H functional calculus and square functions on noncommutative Lp-spaces |
title_full | H functional calculus and square functions on noncommutative Lp-spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu |
title_fullStr | H functional calculus and square functions on noncommutative Lp-spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu |
title_full_unstemmed | H functional calculus and square functions on noncommutative Lp-spaces Marius Junge ; Christian Le Merdy ; Quanhua Xu |
title_short | H functional calculus and square functions on noncommutative Lp-spaces |
title_sort | h functional calculus and square functions on noncommutative lp spaces |
topic | Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd Quadratische Funktion (DE-588)4343047-8 gnd H-unendlich-Kalkül (DE-588)4846555-0 gnd |
topic_facet | Nichtkommutativer Lp-Raum Quadratische Funktion H-unendlich-Kalkül |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020037315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV002579439 |
work_keys_str_mv | AT jungemarius hfunctionalcalculusandsquarefunctionsonnoncommutativelpspaces AT lemerdychristian hfunctionalcalculusandsquarefunctionsonnoncommutativelpspaces AT xuquanhua hfunctionalcalculusandsquarefunctionsonnoncommutativelpspaces |