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.
- | Author: Piotr Soltan
- | Publisher: Birkhauser
- | Publication Date: Sep 17, 2018
- | Number of Pages: 200 pages
- | Binding: Paperback or Softback
- | ISBN-10: 331992060X
- | ISBN-13: 9783319920603