A Primer on Hilbert Space Operators - E-book

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A Primer On Hilbert Space Operators - ENG

Piotr So?tan

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Sinopsis

ISBN:	9783319920610
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Análisis Funcional
Año de publicación:	2018-09-04

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 aÂ novel tool, called the z-transform, which providesÂ a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.

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