An Introduction to Operators on the Hardy-Hilbert Space Hardcover - 2006
by Ruben A. Martinez-Avendano; Peter Rosenthal
From the rear cover
The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. This is a popular area, partially because the Hardy-Hilbert space is the most natural setting for operator theory. A reader who masters the material covered in this book will have acquired a firm foundation for the study of all spaces of analytic functions and of operators on them. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis. The exposition, blending techniques from "soft" and "hard" analysis, is intended to be as clear and instructive as possible. Many of the proofs are very elegant.
This book evolved from a graduate course that was taught at the University of Toronto. It should prove suitable as a textbook for beginning graduate students, or even for well-prepared advanced undergraduates, as well as for independent study. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.
Details
- Title An Introduction to Operators on the Hardy-Hilbert Space
- Author Ruben A. Martinez-Avendano; Peter Rosenthal
- Binding Hardcover
- Edition U. S. EDITION
- Pages 220
- Volumes 1
- Language ENG
- Publisher Springer, New York, NY
- Date 2006-12-01
- Features Bibliography, Index
- ISBN 9780387354187 / 0387354182
- Weight 1.12 lbs (0.51 kg)
- Dimensions 9.21 x 6.14 x 0.56 in (23.39 x 15.60 x 1.42 cm)
- Library of Congress subjects Operator theory, Hilbert space
- Library of Congress Catalog Number 2006933291
- Dewey Decimal Code 515.733
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