Primer on Hilbert Space Operators by Piotr Sołtan.
Material type: TextSeries: Compact Textbooks in MathematicsPublication details: Switzarland: Springer-Nature, 2018.Edition: 1st ed. 2018Description: XII, 200 pages 1 illustrations in colorISBN:- 9783319920603 (Pbk)
- 515.733 So48P 23
Item type | Current library | Collection | Call number | Status | Notes | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Books | Central Library, IISER Bhopal Reference Section | Reference | 515.733 So48P (Browse shelf(Opens below)) | Not For Loan | Reserve | 11144 |
Browsing Central Library, IISER Bhopal shelves, Shelving location: Reference Section, Collection: Reference Close shelf browser (Hides shelf browser)
515.732 R95I Introduction to tensor products of Banach spaces | 515.733 G137H Hilbert space and quantum mechanics | 515.733 N13H2 Harmonic analysis of operators on Hilbert space | 515.733 So48P Primer on Hilbert Space Operators | 515.733 St71L Linear transformations in Hilbert space and their applications to analysis | 515.782 St8G Guide to distribution theory and Fourier transforms | 515.8 B279R Real analysis |
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.
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.
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