Analytic Hilbert Modules

1. Auflage 2003
ISBN: 978-1-58488-399-9
Verlag: Chapman and Hall/CRC

Buch, Englisch, 210 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 485 g

Reihe: 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.

Autoren/Hrsg.

Chen, Xiaoman

Guo, Kunyu

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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

Über Autor(innen)

Chen, Xiaoman; Guo, Kunyu