Analytic Hilbert Modules

1st Edition

Xiaoman Chen, Kunyu Guo

Chapman and Hall/CRC
Published March 26, 2003
Reference - 216 Pages - 50 B/W Illustrations
ISBN 9781584883999 - CAT# C3995
Series: Chapman & Hall/CRC Research Notes in Mathematics Series


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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.