Mixed-norm inequalities and operator space Lp embedding theory:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2010
|
| Series: | Memoirs of the American Mathematical Society
953 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 203, number 953 (second of 5 numbers)" Literaturverz. S. 153 - 155 |
| Physical Description: | V, 155 S. |
| ISBN: | 9780821846551 |
Staff View
MARC
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| 245 | 1 | 0 | |a Mixed-norm inequalities and operator space Lp embedding theory |c Marius Junge ; Javier Parcet |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2010 | |
| 300 | |a V, 155 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 953 | |
| 500 | |a "Volume 203, number 953 (second of 5 numbers)" | ||
| 500 | |a Literaturverz. S. 153 - 155 | ||
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Lp spaces | |
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Record in the Search Index
| _version_ | 1804141065755688960 |
|---|---|
| adam_text | Contents
Introduction
1
0.1. Noncommutative
function spaces
2
0.2.
Amalgamated Lp spaces
3
0.3.
Conditional Lp spaces
5
0.4.
Intersection spaces
7
0.5.
Mixed-norm inequalities
8
0.6.
Operator space Lp embeddings
9
Chapter
1.
Noncommutative integration
13
1.1.
Noncommutative Lp spaces
13
1.2.
Pisier s vector-valued LP spaces
17
1.3.
The spaces
IÇ(M,
E) and Lcp(M, E)
20
Chapter
2.
Amalgamated Lp spaces
27
2.1.
Haagerup s construction
29
2.2.
Triangle inequality on
Αχ,Κ
31
2.3.
A metric structure on the solid
К
38
Chapter
3.
An interpolation theorem
43
3.1.
Finite
von
Neumann algebras
44
3.2.
Conditional expectations on
АхД
4g
3.3.
General
von
Neumann algebras I
55
3.4.
General
von
Neumann algebras II
61
3.5.
Proof of the main interpolation theorem
66
Chapter
4.
Conditional Lp spaces
71
4.1.
Duality
72
4.2.
Conditional L^ spaces
73
4.3.
Interpolation results and applications
74
Chapter
5.
Intersections of Lp spaces
79
5.1.
Free
Rosenthal
inequalities
79
5.2.
Estimates for BMO type norms
83
5.3.
Interpolation of 2-term intersections
99
5.4.
Interpolation of 4-term intersections
103
Chapter
6.
Factorization of
J£q{M,
E)
107
6.1.
Amalgamated tensors
108
6.2.
Conditional expectations and ultraproducts
112
6.3.
Factorization of the space
JS>¿(M,
E)
115
iii
iv CONTENTS
Chapter
7.
Mixed-norm inequalities
119
7.1.
Embedding of J^q{M, E) into LP(A;£^)
119
7.2.
Asymmetric Lp spaces and
noncommutative
(Σρβ)
126
Chapter
8.
Operator space Lp embeddings
129
8.1.
Embedding
Schatten
classes
129
8.2.
Embedding into the hyperfmite factor
132
8.3.
Embedding for general
von
Nemnann algebras
144
Bibliography
153
|
| any_adam_object | 1 |
| author | Junge, Marius 1962- Parcet, Javier 1975- |
| author_GND | (DE-588)112432689 (DE-588)140501908 |
| author_facet | Junge, Marius 1962- Parcet, Javier 1975- |
| author_role | aut aut |
| author_sort | Junge, Marius 1962- |
| author_variant | m j mj j p jp |
| building | Verbundindex |
| bvnumber | BV036038348 |
| callnumber-first | Q - Science |
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| callnumber-search | QA3 QA403 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)457767002 (DE-599)OBVAC07978119 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036038348 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:09:57Z |
| institution | BVB |
| isbn | 9780821846551 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018930276 |
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| physical | V, 155 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Junge, Marius 1962- Verfasser (DE-588)112432689 aut Mixed-norm inequalities and operator space Lp embedding theory Marius Junge ; Javier Parcet Providence, RI American Math. Soc. 2010 V, 155 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 953 "Volume 203, number 953 (second of 5 numbers)" Literaturverz. S. 153 - 155 Banach spaces Harmonic analysis Lp spaces Martingales (Mathematics) Noncommutative function spaces Quantum statistics Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Martingal (DE-588)4126466-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Lp-Raum (DE-588)4168195-2 gnd rswk-swf Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Banach-Raum (DE-588)4004402-6 s Lp-Raum (DE-588)4168195-2 s DE-604 Nichtkommutativer Lp-Raum (DE-588)4528421-0 s Martingal (DE-588)4126466-6 s Quantenstatistik (DE-588)4047991-2 s Parcet, Javier 1975- Verfasser (DE-588)140501908 aut Memoirs of the American Mathematical Society 953 (DE-604)BV008000141 953 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018930276&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Junge, Marius 1962- Parcet, Javier 1975- Mixed-norm inequalities and operator space Lp embedding theory Memoirs of the American Mathematical Society Banach spaces Harmonic analysis Lp spaces Martingales (Mathematics) Noncommutative function spaces Quantum statistics Quantenstatistik (DE-588)4047991-2 gnd Harmonische Analyse (DE-588)4023453-8 gnd Martingal (DE-588)4126466-6 gnd Banach-Raum (DE-588)4004402-6 gnd Lp-Raum (DE-588)4168195-2 gnd Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd |
| subject_GND | (DE-588)4047991-2 (DE-588)4023453-8 (DE-588)4126466-6 (DE-588)4004402-6 (DE-588)4168195-2 (DE-588)4528421-0 |
| title | Mixed-norm inequalities and operator space Lp embedding theory |
| title_auth | Mixed-norm inequalities and operator space Lp embedding theory |
| title_exact_search | Mixed-norm inequalities and operator space Lp embedding theory |
| title_full | Mixed-norm inequalities and operator space Lp embedding theory Marius Junge ; Javier Parcet |
| title_fullStr | Mixed-norm inequalities and operator space Lp embedding theory Marius Junge ; Javier Parcet |
| title_full_unstemmed | Mixed-norm inequalities and operator space Lp embedding theory Marius Junge ; Javier Parcet |
| title_short | Mixed-norm inequalities and operator space Lp embedding theory |
| title_sort | mixed norm inequalities and operator space lp embedding theory |
| topic | Banach spaces Harmonic analysis Lp spaces Martingales (Mathematics) Noncommutative function spaces Quantum statistics Quantenstatistik (DE-588)4047991-2 gnd Harmonische Analyse (DE-588)4023453-8 gnd Martingal (DE-588)4126466-6 gnd Banach-Raum (DE-588)4004402-6 gnd Lp-Raum (DE-588)4168195-2 gnd Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd |
| topic_facet | Banach spaces Harmonic analysis Lp spaces Martingales (Mathematics) Noncommutative function spaces Quantum statistics Quantenstatistik Harmonische Analyse Martingal Banach-Raum Lp-Raum Nichtkommutativer Lp-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018930276&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT jungemarius mixednorminequalitiesandoperatorspacelpembeddingtheory AT parcetjavier mixednorminequalitiesandoperatorspacelpembeddingtheory |