Functional Analysis With Applications

Functional Analysis With Applications (De Gruyter Textbook)
Authors: Svetlin G Georgiev – Khaled Zennir
ISBN-10: 3110657694
ISBN-13: 9783110657692
Publication Date 出版日期: 2019-06-17
Print length 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.
Contents
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
Index