Analytic Hilbert modules

Author(s)
    • Chen, Xiaoman
    • Guo, Kunyu
Bibliographic Information

Analytic Hilbert modules

Xiaoman Chen, Kunyu Guo

(Research notes in mathematics, 433)

Chapman & Hall/CRC, c2003

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Note

Bibliography: p. 189-198

Includes index

Description and Table of Contents

Description

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results under one cover. Written by two of the most active and often-cited researchers in the field, Analytic Hilbert Modules reports on the progress made by the authors and others, including the characteristic space theory, rigidity, the equivalence problem, the Arveson modules, extension theory, and reproducing Hilbert spaces on n-dimensional complex space.

Table of Contents

1 Introduction2 Characteristic spaces and algebraic reduction 3 Rigidity for analytic Hilbert modules4 Equivalence of Hardy submodules 5 Reproducing function spaces on the complex n-space 6 The Arveson module 7 Extensions of Hilbert modules References Index

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Details
  • NCID
    BA62082041
  • ISBN
    • 1584883995
  • LCCN
    2003040911
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boca Raton
  • Pages/Volumes
    vii, 201 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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