Analytic Hilbert Modules

Analytic Hilbert Modules

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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.show more

Product details

  • Hardback | 216 pages
  • 162.6 x 238.8 x 16.8mm | 435.46g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 50 black & white illustrations
  • 1584883995
  • 9781584883999

Review quote

"The book presents an account of most of the basic material on analytic Hilbert modules and should serve as a standard reference on this subject. [It] provides comprehensive information for researchers and graduate students in operator theory, functional analysis, representation theory, algebraic geometry, and complex analysis." - Zentralblatt MATH, 1048 "I would recommend this book to a researcher who is already familiar with this area and wants to get a good overview of what can be gained from Guo and Chen's methods. It is clear that their methods are valuable and can be used to extend and simplify many results in the area." -Mathematical Reviews "The book is written in a clear and systematic way and it describes an interesting part of the recent development in the field." - EMS Newslettershow more

Table of contents

The seminal 1989 work of Douglas and Paulsen in 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.show more