This volume of the "Mathematics Studies" series presents work done on composition operators during the last 25 years. Composition operators form a simple but interesting class of operators having interactions with different branches of mathematics and mathematical physics. After an introduction, the
Composition Operators on Function Spaces
โ Scribed by R.K. Singh and J.S. Manhas (Eds.)
- Publisher
- North-Holland
- Year
- 1993
- Tongue
- English
- Leaves
- 326
- Series
- North-Holland Mathematics Studies 179
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Very good book for Graduate students in Mathematics, especially those working on Functional Analysis.
โฆ Table of Contents
Content:
Edited by
Pages ii-iii
Copyright page
Page iv
Preface
Pages v-viii
R.K. Singh
Chapter I Introduction
Pages 1-15
Chapter II Composition Operators on LP-Spaces
Pages 17-58
Chapter III Composition Operators on Functional Banach Spaces
Pages 59-91
Chapter IV Composition Operators on the Weighted Locally Convex Function Spaces
Pages 93-163
Chapter V Some Applications of Composition Operators
Pages 165-272
References
Pages 273-301
Symbol Index
Pages 303-305
Subject Index
Pages 307-315
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The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehen
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The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function \Psi grows rapidly: compactness, weak compactness, to be p-summing, order bounded, \ldots, and show how these notions behave according to the growth of \Psi. They introduce an adapted version of Carleson me