Nuclear and Conuclear Spaces
Published on 14. May 2014
286 pages
978-0-08-087163-9 (ISBN)
Description
Nuclear and Conuclear Spaces
More details
Series
Language
English
Place of publication
Amsterdam
Netherlands
Product notice
Windows
ISBN-13
978-0-08-087163-9 (9780080871639)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
H. Hogbe-Nlend | V.B. Moscatelli
Nuclear and Conuclear Spaces: Volume 52
Book
04/2000
North-Holland
€185.70
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Content
- Front Cover
- Nuclear and Conuclear Spaces
- Copyright Page
- LIST OF CONTENTS
- INTRODUCTION
- NOTATION
- CHAPTER I. SCHWARTZ AND INFRA-SCHWARTZ SPACES
- 1.1 Schwartz and infra-Schwartz bornologies
- 1.2 Schwartz, co-schwartz and infra-Schwartz locally convex spaces
- 1.3 Silva and Infra-Silva spaces
- 1.4 Permanence properties. Varieties and ultra-varieties
- 1.5 Examples and counterexamples
- Exereices on Chapter I
- CHAPTER II. OPERATORS IN BANACH SPACES
- 2.1 Compact operators in Banach spaces
- 2.2 Nuclear operators
- 2.3 Polynuclear and quasinuclear operators
- 2.4 Operators of type lP
- 2.5 Absolutely p - summig operators
- 2.6 Summable families
- Exercices on Chapter II
- CHAPTER III. NUCLEAR AND CONUCLEAR SPACES
- 3.1 Nuclear and conuclear spaces
- 3.2 Characterizations of nuclearity in tems of operators
- 3.3 Characterizations of nuclearity in terns of sets
- 3.4 Nuclearity and diametral dimension
- 3.5 Nuclearity and approximative dimension
- Exercices on chapter III
- CHAPTER IV. PERMANENCE PROPERTIES OF NUCLEARITY AND CONUCLEARITY
- 4.1 The nuclear ultra-varieties
- 4.2 Permanence properties of conuclearity
- 4.3 The strong dual of a nuclear space
- 4.4 Nuclear topologies consistent with a given duality
- Exercices on Chapter IV
- CHAPTER V. EXAMPLES OF NUCLEAR AND CONUCLEAR SPACES
- 5.1 Spaces of operators
- 5.2 Sequence spaces
- 5.3 Spaces of smooth functions and distributions
- 5.4 Spaces of analytic functions and analytic functionals
- Exercices on Chapter V
- INDEX
- TABLE OF SYMBOLS
- BIBLIOGRAPHY
