TY  - BOOK
AU  - Sołtan,Piotr
TI  - Primer on Hilbert Space Operators 
T2  - Compact Textbooks in Mathematics,
SN  - 9783319920603 (Pbk)
U1  - 515.733 So48P 23
PY  - 2018///
CY  - Switzarland
PB  - Springer-Nature
KW  - Operator theory
KW  - Hilbert space
N1  - Spectrum of an operator -- Continuous functional calculus -- Positive operators -- Spectral theorems and functional calculus -- Compact operators -- The trace -- Functional calculus for families of operators -- Operators and their graphs -- z-transform -- Spectral theorems -- Self-adjoint extensions of symmetric operators -- One-parameter groups of unitary operators -- Appendices -- Index of notation -- References - Index
N2  - 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
ER  -