Functional Analysis With Applications

Functional Analysis With Applications (De Gruyter Textbook)
Authors:Svetlin G Georgiev – Khaled Zennir
ISBN-10 书号:3110657694
ISBN-13 书号:9783110657692
Release Finelybook 出版日期:2019-06-17
pages 页数:402 pages

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.
1Vector, 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


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