Principles of Functional Analysis

Principles of Functional Analysis
Author :
Publisher : American Mathematical Soc.
Total Pages : 450
Release :
ISBN-10 : 9780821828953
ISBN-13 : 0821828959
Rating : 4/5 (959 Downloads)

Book Synopsis Principles of Functional Analysis by : Martin Schechter

Download or read book Principles of Functional Analysis written by Martin Schechter and published by American Mathematical Soc.. This book was released on 2001-11-13 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book provides an elegant introduction to functional analysis ... carefully selected problems ... This is a nicely written book of great value for stimulating active work by students. It can be strongly recommended as an undergraduate or graduate text, or as a comprehensive book for self-study. --European Mathematical Society Newsletter Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory text accessible to a wide spectrum of students, including beginning-level graduates and advanced undergraduates. The exposition is inviting, following threads of ideas, describing each as fully as possible, before moving on to a new topic. Supporting material is introduced as appropriate, and only to the degree needed. Some topics are treated more than once, according to the different contexts in which they arise. The prerequisites are minimal, requiring little more than advanced calculus and no measure theory. The text focuses on normed vector spaces and their important examples, Banach spaces and Hilbert spaces. The author also includes topics not usually found in texts on the subject. This Second Edition incorporates many new developments while not overshadowing the book's original flavor. Areas in the book that demonstrate its unique character have been strengthened. In particular, new material concerning Fredholm and semi-Fredholm operators is introduced, requiring minimal effort as the necessary machinery was already in place. Several new topics are presented, but relate to only those concepts and methods emanating from other parts of the book. These topics include perturbation classes, measures of noncompactness, strictly singular operators, and operator constants. Overall, the presentation has been refined, clarified, and simplified, and many new problems have been added. The book is recommended to advanced undergraduates, graduate students, and pure and applied research mathematicians interested in functional analysis and operator theory.


Principles of Functional Analysis Related Books

Principles of Functional Analysis
Language: en
Pages: 450
Authors: Martin Schechter
Categories: Mathematics
Type: BOOK - Published: 2001-11-13 - Publisher: American Mathematical Soc.

GET EBOOK

This excellent book provides an elegant introduction to functional analysis ... carefully selected problems ... This is a nicely written book of great value for
Functional Analysis
Language: en
Pages: 482
Authors: Theo Bühler
Categories: Mathematics
Type: BOOK - Published: 2018-08-08 - Publisher: American Mathematical Soc.

GET EBOOK

It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and the Baire
Functional Analysis
Language: en
Pages: 220
Authors: Michel Willem
Categories: Mathematics
Type: BOOK - Published: 2013-08-13 - Publisher: Springer Science & Business Media

GET EBOOK

The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundament
Principles of Analysis
Language: en
Pages: 541
Authors: Hugo D. Junghenn
Categories: Mathematics
Type: BOOK - Published: 2018-04-27 - Publisher: CRC Press

GET EBOOK

Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic ana
Functional Analysis and Infinite-Dimensional Geometry
Language: en
Pages: 455
Authors: Marian Fabian
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

GET EBOOK

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text ca