Principles of Functional Analysis (Graduate Studies in Mathematics) - Hardcover

American Mathematical Society

9780821828953: Principles of Functional Analysis (Graduate Studies in Mathematics)

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ISBN 10: 0821828959 ISBN 13: 9780821828953

Publisher: American Mathematical Society, 2002

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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.

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PublisherAmerican Mathematical Society
Publication date2002
ISBN 10 0821828959
ISBN 13 9780821828953
BindingHardcover
LanguageEnglish
Edition number2
Number of pages425

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Other Popular Editions of the Same Title

9780126227512: Principles of Functional Analysis

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ISBN 10: 0126227519 ISBN 13: 9780126227512
Publisher: Academic Press Inc, 1997
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Academic Press Inc, 1971 (Hardcover)

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Principles of Functional Analysis

Schechter, Martin

Published by American Mathematical Society, 2002

ISBN 10: 0821828959 ISBN 13: 9780821828953

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Principles of Functional Analysis (Graduate Studies in Mathematics)

Martin Schechter

Published by American Mathematical Society, 2001

ISBN 10: 0821828959 ISBN 13: 9780821828953

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Principles of Functional Analysis (Graduate Studies in Mathematics)

Martin Schechter

Published by American Mathematical Society, 2001

ISBN 10: 0821828959 ISBN 13: 9780821828953

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Principles of Functional Analysis (Graduate Studies in Mathematics)

Martin Schechter

Published by American Mathematical Society, 2001

ISBN 10: 0821828959 ISBN 13: 9780821828953

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