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Fundamentals of Functional Analysis
Fundamentals of Functional Analysis
S. S. Kutateladze
A concise guide to basic sections of
modern functional analysis. Included are such topics as
the principles of Banach and Hilbert spaces, the theory of
multinormed and uniform spaces, the RieszDunford holomorphic
functional calculus, the Fredholm index theory,
convex analysis
and duality theory for locally convex spaces
with applications to
the Schwartz spaces of distributions and
Radon measures.
Table of Contents
Preface to the English Translation
Preface to the First Russian Edition
Chapter 1. An Excursus into Set Theory
Chapter 2. Vector Spaces
Chapter 3. Convex Analysis
Chapter 4. An Excursus into Metric Spaces
Chapter 5. Multinormed and Banach Spaces
Chapter 6. Hilbert Spaces
Chapter 7.Principles of Banach Spaces
Chapter 8. Operators in Banach Spaces
Chapter 9. An Excursus into General Topology
Chapter 10. Duality and Its Applications
Chapter 11. Banach Algebras
References
Notation Index
Subject Index
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PDF (Russian; 1.953.661 Bytes)
Kutateladze, S.S.
Fundamentals of Functional Analysis.
4th corrected edition (Russian)
ISBN 5–86134–103–6
© S. S. Kutateladze, 2001
©
Institut Matematiki Im. S. L. Soboleva Sibirskogo Otdeleniya RAN, 2001
Electronic version published on: 7 Oct 2003.
© 2003 ELibM and FIZ Karlsruhe / Zentralblatt MATH for
the EMIS Electronic Edition