A Primer On Hilbert Space Operators
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A Primer on Hilbert Space Operators
Author | : Piotr Sołtan |
Publisher | : Springer |
Total Pages | : 200 |
Release | : 2018-09-04 |
Genre | : Mathematics |
ISBN | : 3319920618 |
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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.