Aurelian Gheondea

Indefinite Excursion in Operator Theory (eBook, PDF)

Geometric and Spectral Treks in Krein Spaces

• Format: PDF

Produktbeschreibung

Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 28. Juli 2022
• Englisch
• ISBN-13: 9781108981279
• Artikelnr.: 70910451

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.