An Indefinite Excursion in Operator Theory: Geometric and Spectral Treks in Kreĭn Spaces

Author:   Aurelian Gheondea (Bilkent University, Ankara)
Publisher:   Cambridge University Press
Edition:   New edition
ISBN:  

9781108969031


Pages:   510
Publication Date:   28 July 2022
Format:   Paperback
Availability:   In stock   Availability explained
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An Indefinite Excursion in Operator Theory: Geometric and Spectral Treks in Kreĭn Spaces


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Overview

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.

Full Product Details

Author:   Aurelian Gheondea (Bilkent University, Ankara)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Edition:   New edition
Dimensions:   Width: 15.10cm , Height: 2.80cm , Length: 22.80cm
Weight:   0.740kg
ISBN:  

9781108969031


ISBN 10:   1108969038
Pages:   510
Publication Date:   28 July 2022
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

1. Inner product spaces; 2. Angular operators; 3. Subspaces of Kreĭn spaces; 4. Linear operators on Kreĭn spaces; 5. Selfadjoint projections and unitary operators; 6. Techniques of induced Kreĭn 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.

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Author Information

Aurelian Gheondea is Professor in the Department of Mathematics, Bilkent University, Ankara and Senior Researcher at the Simion Stoilow Institute of Mathematics of the Romanian Academy. Specialising in operator theory, functional analysis, and quantum operations, he has authored 78 research articles and one book and was the recipient of the annual Spiru Haret prize of the Romanian Academy.

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