Holomorphic Automorphism Groups in Banach Spaces :An Elementary Introduction ( Volume 105 )

Publication subTitle :An Elementary Introduction

Publication series :Volume 105

Author: Isidro   J. M.;Stachó   L. L.  

Publisher: Elsevier Science‎

Publication year: 2011

E-ISBN: 9780080872162

P-ISBN(Paperback): 9780444876577

P-ISBN(Hardback):  9780444876577

Subject: O174.5 complex - variable function

Language: ENG

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Description

Holomorphic Automorphism Groups in Banach Spaces

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 10

PREFACE

pp.:  6 – 14

TABLE OF CONTENTS

pp.:  10 – 6

CHAPTER 0. PRELIMINARIES

pp.:  14 – 18

CHAPTER 1. UNIFORMLY BOUNDED FAMILIES OF HOLOMORPHIC MAPS AND LOCALLY UNIFORM CONVERGENCE.

pp.:  18 – 30

CHAPTER 2. TOPOLOGICAL CONSEQUENCES OF THE GROUP STRUCTURE OF THE SET OF AUTOMORPHISMS.

pp.:  30 – 42

CHAPTER 3. THE CARATHEODORY DISTANCE AND COMPLETENESS PROPERTIES OF THE GROUP OF AUTOMORPHISMS.

pp.:  42 – 56

CHAPTER 4. THE LIE ALGEBRA OF COMPLETE VECTOR FIELDS.

pp.:  56 – 78

CHAPTER 5. THE NATURAL TOPOLOGY ON THE LIE ALGEBRA OF COMPLETE VECTOR FIELDS.

pp.:  78 – 90

CHAPTER 6. THE BANACH LIE GROUP STRUCTURE OF THE SET OF AUTOMORPHISMS.

pp.:  90 – 126

CHAPTER 7. BOUNDED CIRCULAR DOMAINS.

pp.:  126 – 152

CHAPTER 8. AUTOMORPHISMS OF THE UNIT BALL OF SOME CLASSICAL BANACH SPACES.

pp.:  152 – 204

CHAPTER 9. BOUNDED SYMMETRIC DOMAINS.

pp.:  204 – 244

CHAPTER 10. THE JORDAN THEORY OF BOUNDED SYMMETRIC DOMAINS.

pp.:  244 – 298

LIST OF REFERENCES AND SUPPLEMENTARY READING

pp.:  298 – 306

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