This text supports two semester-length courses. The first covers Hilbert spaces and basic operator theory, with sections on linear, normed, and Hilbert spaces and the dual space, bounded linear operators, spectrum, the Fredholm theory of compact operators, self-adjoint operators, functions of operators, and spectral decomposition. This material requires only a first course in linear algebra as a prerequisite. The second course covers the basics of functional analysis, with sections on fundamental theorems and basic methods, spectral theory of unitary operators, Banach algebras, and unbound self-adjoint and symmetric operators in H. This course requires a background in measure theory. Each section includes exercises with solutions in the appendix. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
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Book by Yuli Eidelman Vitali Milman Antonis Tsolomitis
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Condizione: 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. . . . . Codice articolo V9780821836460
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Einband - fest (Hardcover). Condizione: 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 applic. Codice articolo 595067979
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Condizione: 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. Codice articolo V9780821836460
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Hardback. Condizione: New. 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. Codice articolo LU-9780821836460
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