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Englisch
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Beschreibung
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.
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.
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.
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.
Über den Autor
Piotr ¿Sötan
Zusammenfassung
Provides a quick insight into the theory of operators on Hilbert spaces
Thorough and self-contained presentation
Highlight: Presentation of the z-transform to deal with unbounded operators
Inhaltsverzeichnis
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.
Details
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xii
200 S. 1 farbige Illustr. 200 p. 1 illus. in color. |
| ISBN-13: | 9783319920603 |
| ISBN-10: | 331992060X |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-92060-3 |
| Einband: | Kartoniert / Broschiert |
| Autor: | So¿tan, Piotr |
| Hersteller: |
Birkhäuser
Palgrave Macmillan Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 12 mm |
| Von/Mit: | Piotr So¿tan |
| Erscheinungsdatum: | 17.09.2018 |
| Gewicht: | 0,33 kg |