Introduction to Holomorphy ( Volume 106 )

Publication series :Volume 106

Author: Barroso   J. A.  

Publisher: Elsevier Science‎

Publication year: 2000

E-ISBN: 9780080872179

P-ISBN(Paperback): 9780444876669

P-ISBN(Hardback):  9780444876669

Subject: O177 functional analysis

Language: ENG

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Description

This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.

The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.

Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.

Chapter

Front Cover

pp.:  1 – 4

Introduction to Holomorphy

pp.:  4 – 5

Copyright Page

pp.:  5 – 14

FOREWORD

pp.:  8 – 16

TABLE OF CONTENTS

pp.:  14 – 8

PART I: THE NORMED CASE

pp.:  16 – 172

PART Il: THE LOCALLY CONVEX CASE

pp.:  172 – 298

BIBLIOGRAPHY

pp.:  298 – 316

AN INDEX OF DEFINITIONS

pp.:  316 – 320

AUTHOR INDEX

pp.:  320 – 322

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