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Functional analysis : spectral theory

Author: V S Sunder
Publisher: Basel ; Boston : Birkhäuser Verlag, ©1997.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Presents the concepts of functional analysis suitable for students of mathematics and physics. This work begins with the basics of normed linear spaces and then focuses on Hilbert spaces,  Read more...

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Document Type: Book
All Authors / Contributors: V S Sunder
ISBN: 0817658920 9780817658922 3764358920 9783764358921
OCLC Number: 39368355
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.
Responsibility: V.S. Sunder.

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"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 Read more...

 
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