ENGLISH

An Introduction to Operators on the Hardy-Hilbert Space

By Rubén A. Martínez-Avendaño , Peter Rosenthal (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2007
ISBN
9780387354187, 9780387485782, 0387354182, 0387485783
DOI
10.1007/978-0-387-48578-2
LCC
QA331 .M38 2007
Open Library ID
OL17159897M
Language
english
Format
PDF
Filesize
989 kB (1013189 bytes)
Series
Graduate Texts in Mathematics 237
Edition
1
Pages
220\229
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11
Operator Theory; Functional Analysis; Functions of

Description

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.

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