An Indefinite Excursion in Operator Theory
Geometric and Spectral Treks in Krein Spaces
Published on 13. July 2022
512 pages
978-1-108-98127-9 (ISBN)
Description
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Illustrations
Worked examples or Exercises
File size
3,00 MB
ISBN-13
978-1-108-98127-9 (9781108981279)
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Schweitzer Classification
Other editions
Additional editions
Aurelian Gheondea
An Indefinite Excursion in Operator Theory
Geometric and Spectral Treks in Krein Spaces
Book
07/2022
Cambridge University Press
€126.30
Shipment within 15-20 days
Person
Content
1. Inner product spaces; 2. Angular operators; 3. Subspaces of Krein spaces; 4. Linear operators on Krein spaces; 5. Selfadjoint projections and unitary operators; 6. Techniques of induced Krein spaces; 7. Plus/minus-operators; 8. Geometry of contractive operators; 9. Invariant maximal semidefinite subspaces; 10. Hankel operators and interpolation problems; 11. Spectral theory for selfadjoint operators; 12. Quasi-contractions; 13. More on definitisable operators; Appendix; References; Symbol index; Subject index.
