Analytic Hilbert Modules

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.

List 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

About the author

Chen, Xiaoman; Guo, Kunyu

Summary

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.

Product details

• Authors: Xiaoman Chen, Chen Xiaoman, Kunyu Guo, Guo Kunyu
• Assisted by: Haim Brezis (Editor of the series), Ronald G. Douglas (Editor of the series), Alan Jeffrey (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Hardback
• Released: 26.03.2003
• EAN: 9781584883999
• ISBN: 978-1-58488-399-9
• No. of pages: 210
• Weight: 560 g
• Illustrations: schwarz-weiss Illustrationen
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Linear & Nonlinear Programming, MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms, Linear programming