2018 | Buch
A Primer on Hilbert Space Operators
Buchreihe: Compact Textbooks in Mathematics
Autor: Prof. Piotr Sołtan
Verlag: Springer International Publishing
Print ISBN: 978-3-319-92060-3
Electronic ISBN: 978-3-319-92061-0
2018 | Buch
Buchreihe: Compact Textbooks in Mathematics
Autor: Prof. Piotr Sołtan
Verlag: Springer International Publishing
Print ISBN: 978-3-319-92060-3
Electronic ISBN: 978-3-319-92061-0
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.