Functional Analysis With Applications

Functional Analysis With Applications
PDF
  • eBook:
    Functional Analysis With Applications
  • Author:
    Svetlin G Georgiev, Khaled Zennir
  • Edition:
    -
  • Categories:
  • Data:
    June 17, 2019
  • ISBN:
    3110657694
  • ISBN-13:
    9783110657692
  • Language:
    English
  • Pages:
    402 pages
  • Format:
    PDF

Book Description
This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it ideal as course material but also as a reference for self-study.

Content

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

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