Principles of Functional Analysis (Graduate Studies in Mathematics)

Martin Schechter

ISBN 10: 0821828959 / ISBN 13: 9780821828953

Published by American Mathematical Society, 2001

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The item is fairly worn but still readable. The book may have some cosmetic wear (i.e. creased spine/cover, scratches, curled corners, folded pages, sunburn, stains, water damage, bent, torn, damaged binding, dent). - The dust jacket if present, may be marked, and have considerable heavy wear. - The book might be ex-library copy, and may have the markings and stickers associated from the library - The book may have considerable highlights/notes/underlined pages but the text is legible - Accessories such as CD, codes, toys, may not be included - Safe and Secure Mailer - No Hassle Return. Seller Inventory # 521PY6001MAR

Bibliographic Details

Title: Principles of Functional Analysis (Graduate ...

Publisher: American Mathematical Society

Publication Date: 2001

Binding: Hardcover

Condition: Acceptable

Edition: 2nd Edition

About this title

Synopsis:

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.