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Banach Spaces
Corneliu Constantinescu (Departement Mathematik, ETH Zurich, CH-8092 Zurich, Switzerland)
Banach Spaces
by
Corneliu Constantinescu (Departement Mathematik, ETH Zurich, CH-8092 Zurich, Switzerland)
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North-Holland Mathematical Library
Banach Spaces Summary
Banach Spaces: Volume 1 by Corneliu Constantinescu (Departement Mathematik, ETH Zurich, CH-8092 Zurich, Switzerland)
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Table of Contents
Introduction. Some Notation and Terminology. 1. Banach Spaces. 1.1 Normed Spaces. 1.1.1 General Results. 1.1.2 Some Standard Examples. 1.1.3 Minkowski's Theorem. 1.1.4 Locally Compact Normed Spaces. 1.1.5 Products of Normed Spaces. 1.1.6 Summable Families. Exercises. 1.2 Operators. 1.2.1 General Results. 1.2.2 Standard Examples. 1.2.3 Infinite Matrices. 1.2.4 Quotient Spaces. 1.2.5 Complemented Subspaces. 1.2.6 The Topology of Pointwise Convergence. 1.2.7 Convex Sets. 1.2.8 The Alaoglu-Bourbaki Theorem. 1.2.9 Bilinear Maps. Exercises. 1.3 The Hahn-Banach Theorem. 1.3.1 The Banach Theorem. 1.3.2 Examples in Measure Theory. 1.3.3 The Hahn-Banach Theorem. 1.3.4 The Transpose of an Operator. 1.3.5 Polar Sets. 1.3.6 The Bidual. 1.3.7 The Krein-Smulian Theorem. 1.3.8 Reflexive Spaces. 1.3.9 Completion of Normed Spaces. 1.3.10 Analytic Functions. Exercises. 1.4 Applications of Baire's Theorem. 1.4.1 The Banach-Steinhaus Theorem. 1.4.2 Open Mapping Principle. Exercises. 1.5 Banach Categories. 1.5.1 Definitions. 1.5.2 Functors. 1.6 Nuclear Maps. 1.6.1 General Results. 1.6.2 Examples. 1.7 Ordered Banach Spaces. 1.7.1 Ordered Normed Spaces. 1.7.2 Order Continuity. Name Index. Subject Index. Symbol Index.
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Additional information
Sku
NPB9780444507495
ISBN 13
9780444507495
ISBN 10
0444507493
Title
Banach Spaces: Volume 1 by Corneliu Constantinescu (Departement Mathematik, ETH Zurich, CH-8092 Zurich, Switzerland)
Author
Corneliu Constantinescu (Departement Mathematik, ETH Zurich, CH-8092 Zurich, Switzerland)
Series
North-Holland Mathematical Library
Condition
New
Binding type
Hardback
Publisher
Elsevier Science & Technology
Year published
2001-04-30
Number of pages
400
Prizes
N/A
Cover note
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