Functional Analysis with Applications

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Product details:

• ISBN 10: 3110658046
• ISBN 13: 9783110658040 
• Author: Svetlin G. Georgiev; Khaled Zennir
  

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.

Table contents:

Part 1. Vector, metric, normed and Banach spaces

Part 2. Lebesgue integration

Part 3. The Lp spaces

Part 4. Linear operators

Part 5. Linear functionals

Part 6. Relatively compact sets in metric and normed spaces. Compact operators

Part 7. Self-adjoint operators in Hilbert spaces

Part 8. The method of the small parameter

Part 9. The parameter continuation method

Part 10. Fixed-pointtheorems and applications

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