Aurelian Gheondea (Ankara Bilkent University)

An Indefinite Excursion in Operator Theory

Geometric and Spectral Treks in Kreĭn Spaces

• Broschiertes Buch

Produktbeschreibung

This modern introduction to operator theory on spaces with indefinite inner product guides the reader step by step through the important results of recent decades. It is highly readable and contains generous background material, making it suitable for graduate students and researchers in operator theory, functional analysis, and related areas.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 510
• Erscheinungstermin: 13. Oktober 2022
• Englisch
• Abmessung: 226mm x 150mm x 30mm
• Gewicht: 744g
• ISBN-13: 9781108969031
• ISBN-10: 1108969038
• Artikelnr.: 63055191

Autorenporträt

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.

Inhaltsangabe

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