UID:
almahu_9947367914002882
Format:
1 online resource (327 p.)
ISBN:
1-281-79334-5
,
9786611793340
,
0-08-087290-5
Series Statement:
North-Holland mathematics studies ; 179
Content:
This volume of the Mathematics Studies 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 book deals with these operators on Lp-spaces. This study is useful in measurable dynamics, ergodic theory, classical mechanics and Markov process. The composition operators on functional Banach spaces (including Hardy spaces) are studied in chapter III. This chapter makes contact
Note:
Description based upon print version of record.
,
Front Cover; Composition Operators on Function Spaces; Copyright Page; CONTENTS; PREFACE; Chapter I. INTRODUCTION; 1.1 Definitions and Historical Background; 1.2 LP-Spaces; 1.3 Functional Banach Spaces of Functions; 1.4 Locally Convex Function Spaces; Chapter II. COMPOSITION OPERATORS ON LP-SPACES; 2.1 Definitions, Characterizations and Examples; 2.2 Invertible Composition Operators; 2.3 Compact Composition Operators; 2.4 Normality of Composition Operators; 2.5 Weighted Composition Operators; Chapter III. COMPOSITION OPERATORS ON FUNCTIONAL BANACH SPACES; 3.1 General Characterizations
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3.2 Composition Operators on Spaces Hp(D), Hp (Dn) and Hp(Dn)3.3 Composition Operators on Hp(P+); 3.4 Composition Operators on lp -Spaces; Chapter IV. COMPOSITION OPERATORS ON THE WEIGHTED LOCALLY CONVEX FUNCTION SPACES; 4.1 Introduction, Characterization and Classical Results; 4.2 Composition Operators on the Weighted Locally Convex Function Spaces; 4.3 Invertible and Compact Composition Operators on Weighted Function Spaces; 4.4 Weighted Composition Operators on Weighted Function Spaces; Chapter V. SOME APPLICATIONS OF COMPOSITION OPERATORS; 5.1 Isometries and Composition Operators
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5.2 Ergodic Theory and Composition Operators5.3 Dynamical Systems and Composition Operators; 5.4 Homomorphisms and Composition Operators; REFERENCES; SYMBOL INDEX; SUBJECT INDEX
,
English
Additional Edition:
ISBN 0-444-81593-7
Language:
English
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