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Synopsis
This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book. The amount of mathematics presented in the book can well be absorbed in a year's study and will provide a sound basis for future reading. It is suitable for graduate students and researchers interested in operator theory and functional analysis.
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Review
“This book contains a wealth of material. Each chapter concludes with a comprehensive set of exercises that serve to illustrate the theory. Solutions to the exercises are given in the final section.” -- Mathematical Reviews
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Functional Analysis: An Introduction (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 66)
Published by
American Mathematical Society (edition ), 2004
ISBN 10: 0821836463
ISBN 13: 9780821836460
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Functional Analysis: An Introduction (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2004
ISBN 10: 0821836463
ISBN 13: 9780821836460
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Functional Analysis: An Introduction (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 66)
Published by
American Mathematical Society, 2004
ISBN 10: 0821836463
ISBN 13: 9780821836460
Used
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Functional Analysis: An Introduction (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2004
ISBN 10: 0821836463
ISBN 13: 9780821836460
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Condition: New. Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators. Series: Graduate Studies in Mathematics. Num Pages: 322 pages, Illustrations. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 260 x 184 x 22. Weight in Grams: 750. . 2004. Hardcover. . . . . Seller Inventory # V9780821836460
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Functional Analysis : An Introduction
Published by
American Mathematical Society, 2004
ISBN 10: 0821836463
ISBN 13: 9780821836460
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Functional Analysis: An Introduction (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2004
ISBN 10: 0821836463
ISBN 13: 9780821836460
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Hardcover
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Condition: New. Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators. Series: Graduate Studies in Mathematics. Num Pages: 322 pages, Illustrations. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 260 x 184 x 22. Weight in Grams: 750. . 2004. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821836460
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Functional Analysis : An Introduction
Published by
American Mathematical Society, 2004
ISBN 10: 0821836463
ISBN 13: 9780821836460
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Functional Analysis
Published by
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ISBN 10: 0821836463
ISBN 13: 9780821836460
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Functional Analysis : An Introduction
Published by
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ISBN 10: 0821836463
ISBN 13: 9780821836460
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Functional Analysis An Introduction
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ISBN 10: 0821836463
ISBN 13: 9780821836460
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