Fundamentals of Functional Analysis

to the English Translation This is 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 Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, con...

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Bibliographic Details
Main Author: Kutateladze, Semën Samsonovich
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1996, 1996
Edition:1st ed. 1996
Series:Texts in the Mathematical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. An Excursion into Set Theory
  • 2. Vector Spaces
  • 3. Convex Analysis
  • 4. An Excursion into Metric Spaces
  • 5. Multinormed and Banach Spaces
  • 6. Hilbert Spaces
  • 7. Principles of Banach Spaces
  • 8. Operators in Banach Spaces
  • 9. An Excursion into General Topology
  • 10. Duality and Its Applications
  • 11. Banach Algebras
  • References
  • Notation Index