Holdings: H functional calculus and square functions on noncommutative Lp-spaces

H functional calculus and square functions on noncommutative Lp-spaces:

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Bibliographic Details
Main Authors:	Junge, Marius 1962- (Author), Le Merdy, Christian (Author), Xu, Quanhua (Author)
Format:	Book
Language:	English
Published:	Paris Soc. Mathématique de France 2006
Series:	Astérisque 305
Subjects:	Nichtkommutativer Lp-Raum Quadratische Funktion H-unendlich-Kalkül
Online Access:	Inhaltsverzeichnis
Physical Description:	VI, 138 S.
ISBN:	9782856291894

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MARC


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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
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author	Junge, Marius 1962- Le Merdy, Christian Xu, Quanhua
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indexdate	2024-07-09T22:33:52Z
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physical	VI, 138 S.
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publisher	Soc. Mathématique de France
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series	Astérisque
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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

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