A Primer on Hilbert Space Operators
Description
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.Keywords
MathematicsFunctional AnalysisMathematical Analysis
2018Book
Author(s)Piotr Sołtan
PublisherSpringer International Publishing
ISBN9783319920603
LanguageEnglish
