Composition Operators

and Classical Function Theory

By: Joel H. Shapiro

Write A Review

Paperback | 16 September 1993

At a Glance

Paperback
244 Pages

Dimensions(cm)
23.39 x 15.6 x 1.3

Paperback

$134.66

or 4 interest-free payments of $33.66 with

Aims to ship in 7 to 10 business days

The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integra tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Complex Analysis

Preface
Acknowledgments
Notation and Terminology
Linear Fractional Prologue	p. 1
Littlewood's Theorem	p. 9
Compactness: Introduction	p. 21
Compactness and Univalence	p. 37
The Angular Derivative	p. 55
Angular Derivatives and Iteration	p. 77
Compactness and Eigenfunctions	p. 89
Linear Fractional Cyclicity	p. 107
Cyclicity and Models	p. 129
Compactness from Models	p. 147
Compactness: General Case	p. 177
Epilogue	p. 199
References	p. 203
Symbol Index	p. 215
Author Index	p. 217
Subject Index	p. 220
Table of Contents provided by Blackwell. All Rights Reserved.

Composition Operators

and Classical Function Theory

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Calculus & Mathematical Analysis

Complex Analysis and Special Functions

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

The Maths Book

Big Ideas Simply Explained

Schaum's Outline of Calculus

7th edition

Calculus with Applications

11th Global Edition

Fundamentals of General, Organic and Biological Chemistry in SI Units

8th Edition

Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics

3rd Edition - Pearson New International Edition

Make: Calculus

Build models to learn, visualize, and explore

Calculus

3rd Edition

A Common-Sense Guide to Data Structures and Algorithms, 2e

INTRODUCTION TO APPLIED NUMERICAL ANALYSIS, AN

Intermediate Financial Theory

3rd Edition

Calculus For Dummies

For Dummies

Student Solutions Manual to accompany Calculus

10th Edition - Several Variables (Chapters 13 - 19)

Introduction to Theoretical and Computational Fluid Dynamics

Religion and Reform in Galveston, 1880-1920

Partial Differential Equations

2nd Edition - An Introduction, Student Solutions Manual

Concise Complex Analysis (Revised Edition)

Single Variable Calculus 4ed

Concepts and Contexts, Enhanced Edition

Physics for Scientists and Engineers

Foundations and Connections, Extended Version with Modern Physics

Systems Analysis and Design, Global Edition

10th edition

Fundamentals of Differential Equations, Global Edition

9th Edition

Mathematics for Business: 7th Edition

Permutation Tests for Complex Data

Theory, Applications and Software

Learning Google Analytics

Creating Business Impact and Driving Insights

This product is categorised by