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The Resource Hilbert modules over operator algebras

Hilbert modules over operator algebras

Label
Hilbert modules over operator algebras
Title
Hilbert modules over operator algebras
Creator
Contributor
Author
Subject
Language
eng
Summary
This memoir gives a general systematic analysis of the notions of "projectivity" and "injectivity" in the context of Hilbert modules over operator algebras. A Hilbert module over an operator algebra [italic capital]A is simply the Hilbert space of a (contractive) representation of [italic capital]A viewed as a module over [italic capital]A in the usual way. We introduce various notions of "projective" Hilbert modules and use them to investigate dilation and commutant lifting problems over certain infinite dimensional analogues of "incidence" algebras. We prove that commutant lifting holds for such an algebra if and only if the pattern indexing the algebra is a "tree" in the sense of computer directories
Cataloging source
UkLiU
http://library.link/vocab/creatorName
Muhly, Paul S
Index
no index present
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorDate
1952-
http://library.link/vocab/relatedWorkOrContributorName
Solel, Baruch
Series statement
Memoirs of the American Mathematical Society
Series volume
559
http://library.link/vocab/subjectName
  • Hilbert modules
  • Operator algebras
Label
Hilbert modules over operator algebras
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 52-53)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Definitions
  • Basic theory
  • Incidence algebras and generalizations
  • Appendix
  • Trees and trees
Dimensions
26 cm.
Extent
viii, 53
Isbn
9780821803462
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Hilbert modules over operator algebras
Publication
Bibliography note
Includes bibliographical references (pages 52-53)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Definitions
  • Basic theory
  • Incidence algebras and generalizations
  • Appendix
  • Trees and trees
Dimensions
26 cm.
Extent
viii, 53
Isbn
9780821803462
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Library Locations

    • Harold Cohen LibraryBorrow it
      Ashton Street, Liverpool, L69 3DA, GB
      53.418074 -2.967913
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