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|All Authors / Contributors:||
V S Sunder
|ISBN:||0817658920 9780817658922 3764358920 9783764358921|
|Description:||ix, 241 p. : ill. ; 24 cm.|
|Contents:||Normed spaces - vector spaces, normed spaces, linear operators, the Hahn-Banach theorem, completeness, some topological considerations; Hilbert spaces - inner product spaces, some preliminaries, orthonormal bases, the adjoint operator, strong and weak convergence; C*-algebras - Banach algebras, Gelfand-Naimark theory, commutative C*-algebras, representations of C*-algebras, the Hahn-Hellinger theorem; some operator theory - the spectral theorem, polar decomposition, compact operators,; Fredholm operators and index; unbounded operators - closed operators, symmetric and self-adjoint operators, spectral theorem and polar decomposition. Appendices: some linear algebra; transfinite considerations; topological spaces; compactness; measure and integration; the Stone-Weierstrass theorem; the Riesz representation theorem.|
"A good text for an ambitious one-semester course or a more leisurely one-year course... The discussion is lively and clearly focused, with many illustrative examples. The author [blends] a large and