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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.Published by: Birkhäuser
Publication Date: 2018-09-17
Format: Paperback
ISBN-13: 9783319920603
DOI: 10.1007/978-3-319-92061-0
Dimensions: 235cm x155cm
Pages: 200