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De Gruyter Textbook Ser.
Functional Analysis with Applications / Svetlin G. Georgiev, Khaled Zennir. — 1 online resource (402 pages). — (De Gruyter Textbook Ser.). — In English. — <URL:http://elib.fa.ru/ebsco/2157306.pdf>.

Record create date: 6/20/2019

Subject: MATHEMATICS — Functional Analysis.; Functional analysis.

Collections: EBSCO

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Table of Contents

  • Preface
  • Contents
  • 1. Vector, metric, normed and Banach spaces
  • 2. Lebesgue integration
  • 3. The Lp spaces
  • 4. Linear operators
  • 5. Linear functionals
  • 6. Relatively compact sets in metric and normed spaces. Compact operators
  • 7. Self-adjoint operators in Hilbert spaces
  • 8. The method of the small parameter
  • 9. The parameter continuation method
  • 10. Fixed-point theorems and applications
  • A. Sets and mappings
  • B. Functions of bounded variation
  • Bibliography
  • Index

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