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Bornologies and Functional Analysis: Introductory course on the theory of duality topology-bornology and its use in functional analysis

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Author(s): Henri Hogbe-Nlend (Eds.)
Series: North-Holland Mathematics Studies 26
Publisher: Elsevier, Academic Press
Year: 1977

Language: English
Pages: iii-vii, 1-144

Content:
Edited by
Page iii

Copyright page
Page iv

Introduction
Page v
H. Hogbe-Nlend

The Various Branches of Functional Analysis and their Mutual Relationships
Page vii

Chapter 0 Preliminary Notions of Algebra and Topology
Pages 1-17

Chapter I Bornology
Pages 18-28

Chapter II Fundamental Bornological Constructions
Pages 29-39

Chapter III Complete Bornologies
Pages 40-46

Chapter IV ‘Topology-Bornology’: Internal Duality
Pages 47-61

Chapter V ‘Topology—Bornology’: External Duality I — The Fundamental Principles of Duality
Pages 62-80

Chapter VI ‘Topology—Bornology’: External Duality II—Weakly Compact Bornologies and Reflexivity
Pages 81-90

Chapter VII Compact Bornologies
Pages 91-102

Chapter VIII Distributions and Diferential Operators
Pages 103-117

Exercises on Chapter I
Pages 118-122

Exercises on Chapter II
Pages 123-125

Exercises on Chapter III
Pages 126-128

Exercises on Chapter IV
Pages 129-131

Exercises on Chapter V
Pages 132-134

Exercises on Chapter VI
Pages 135-136

Exercises on Chapter VII
Pages 137-138

Index
Pages 139-141

Bibliography
Pages 143-144