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The Resource H[lemniscate] functional calculus and square functions on noncommutative L[superscript p]-spaces, Marius Junge, Christian le Merdy, Quanhua Xu

H[lemniscate] functional calculus and square functions on noncommutative L[superscript p]-spaces, Marius Junge, Christian le Merdy, Quanhua Xu

Label
H[lemniscate] functional calculus and square functions on noncommutative L[superscript p]-spaces
Title
H[lemniscate] functional calculus and square functions on noncommutative L[superscript p]-spaces
Statement of responsibility
Marius Junge, Christian le Merdy, Quanhua Xu
Creator
Contributor
Subject
Language
  • eng
  • fre
  • eng
Summary
We investigate sectorial operators and semigroups acting on noncommutative Lp-spaces. We introduce new square functions in this context and study their connection with H[infinity] functional calculus, extending some famous work by Cowling, Doust, McIntoch and Yagi concerning commutative Lp-spaces. This requires natural variants of Rademacher sectoriality and the use of the matricial structure of noncommutative Lp-spaces. We mainly focus on noncommutative diffusion semigroups. We discuss several examples of such semigroups for which we establish bounded H[infinity] functional calculus and square function estimates. This includes semigroups generated by certain Hamiltonians or Schur multipliers, q-Ornstein-Uhlenbeck semigroups acting on the q-deformed von Neumann algebras of Bozejko-Speicher, and the noncommutative Poisson semigroup acting on the group von Neumann algebra of a free group
Member of
Cataloging source
OSU
http://library.link/vocab/creatorName
Junge, Marius
Index
no index present
Language note
Summary in French
LC call number
QA323
LC item number
.J86 2006
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Le Merdy, Christian
  • Xu, Quanhua
  • Société mathématique de France
Series statement
Astérisque,
Series volume
305
http://library.link/vocab/subjectName
  • Lp spaces
  • Functional analysis
  • Noncommutative function spaces
  • Function spaces
Label
H[lemniscate] functional calculus and square functions on noncommutative L[superscript p]-spaces, Marius Junge, Christian le Merdy, Quanhua Xu
Instantiates
Publication
Note
On t.p. "[infinity]" appears as the infinity symbol, both "[infinity]" and "p̳" are superscript
Bibliography note
Includes bibliographical references (pages [133]-138)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Noncommutative Hilbert space valued Lp-spaces -- 3. Bounded and completely bounded H[infinity] functional calculus -- 4. Rademacher boundedness and related notions -- 5. Noncommutative diffusion semigroups -- 6. Square functions on noncommutative Lp-spaces -- 7. H[infinity] functional calculus and square function estimates -- 8. Various examples of multipliers -- 9. Semigroups on q-deformed von Neumann algebras -- 10. A noncommutative Poisson semigroup -- 11. The non tracial case. A. Comparing row and column square functions -- B. Measurable functions in Lp(L2)
Control code
75960588
Dimensions
24 cm
Extent
vi, 138 pages
Isbn
9782856291894
Lccn
2007370547
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)75960588
Label
H[lemniscate] functional calculus and square functions on noncommutative L[superscript p]-spaces, Marius Junge, Christian le Merdy, Quanhua Xu
Publication
Note
On t.p. "[infinity]" appears as the infinity symbol, both "[infinity]" and "p̳" are superscript
Bibliography note
Includes bibliographical references (pages [133]-138)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Noncommutative Hilbert space valued Lp-spaces -- 3. Bounded and completely bounded H[infinity] functional calculus -- 4. Rademacher boundedness and related notions -- 5. Noncommutative diffusion semigroups -- 6. Square functions on noncommutative Lp-spaces -- 7. H[infinity] functional calculus and square function estimates -- 8. Various examples of multipliers -- 9. Semigroups on q-deformed von Neumann algebras -- 10. A noncommutative Poisson semigroup -- 11. The non tracial case. A. Comparing row and column square functions -- B. Measurable functions in Lp(L2)
Control code
75960588
Dimensions
24 cm
Extent
vi, 138 pages
Isbn
9782856291894
Lccn
2007370547
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)75960588

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