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Analytic Hilbert Modules by Xiaoman Chen at Abbey's Bookshop,
Analytic Hilbert Modules
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Xiaoman Chen Kunyu Guo

Analytic Hilbert Modules

Xiaoman Chen,  Kunyu Guo,  Kunyu Guo (Fudan University, Shanghai, China Fudan University) ,  Haim Brezis

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English
Chapman & Hall/CRC
26 March 2003
Functional analysis & transforms; Linear programming
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
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.
By:   , , , ,
Series edited by:   ,
Imprint:   Chapman & Hall/CRC
Country of Publication:   United States
Volume:   433
Dimensions:   Height: 234mm,  Width: 156mm,  Spine: 17mm
Weight:   560g
ISBN:   9781584883999
ISBN 10:   1584883995
Series:   Chapman & Hall/CRC Research Notes in Mathematics Series
Pages:   210
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
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

Chen, Xiaoman; Guo, Kunyu

Reviews for Analytic Hilbert Modules

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 Newsletter


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