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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Zustand: 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. . . . . Bestandsnummer des Verkäufers V9780821836460
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