Functional Analysis With Applications

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

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.


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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