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Student-friendly but rigorous book aimed primarily at third or fourth year undergraduates. The pace is slow but thorough, with an abundance of motivations, examples, and counterexamples. Arguments used within proofs are explicitly cited, with references to where they were first proved. Many examples have solutions that make use of several results or concepts, so that students can see how various techniques can blend together into one.
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Edition | Availability |
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1
Functional Analysis: A Gentle Introduction
2006, Matrix Editions
Hardcover
in English
- Vol 1 - 1st Edition
0971576610 9780971576612
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Book Details
Table of Contents
Edition Notes
Includes bibliographical references and index.
Includes solutions to all odd-numbered exercises
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Work Description
Covers metric, topological, normed, and Hilbert spaces; bounded linear operators; Hamel, Schauder, and Hilbert bases. Theorems include Banach fixed point, Baire's category, Banach-Steinhaus, open mapping, Weierstrass approximation, Stone-Weierstrass, Baire-Osgood, Muntz. Appendix gives background on set theory and linear algebra. Index and appoximately 120 pages of solutions to odd-numbered exercises
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Feedback?August 2, 2024 | Edited by ImportBot | import existing book |
April 9, 2024 | Edited by Kaustubh Chakraborty | Updated information of the book. |
December 14, 2020 | Edited by MARC Bot | import existing book |
January 17, 2010 | Edited by WorkBot | add subjects and covers |
December 11, 2009 | Created by WorkBot | add works page |