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A Primer on Hilbert Space Operators

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A Primer on Hilbert Space Operators Synopsis

The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter groups of operators.

The exposition of the material on unbounded operators is based on a novel tool, called the z-transform, which provides a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.

About This Edition

ISBN: 9783319920603
Publication date:
Author: Piotr Soltan
Publisher: Birkhauser an imprint of Springer International Publishing
Format: Paperback
Pagination: 200 pages
Series: Compact Textbooks in Mathematics
Genres: Functional analysis and transforms

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