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Beschreibung
The Lifshits-Krein spectral shift function and spectral flow are classical and well-established notions of mathematical analysis. Nevertheless, for many years these theories were developed independently. This book gives a unified exposition of the theory of spectral flow and the spectral shift function in semifinite von Neumann algebras, as well as many other topics necessary for such an exposition. These topics include the Brown measure, the Fuglede-Kadison determinant, double and multiple operator integrals, spectral averaging and Breuer's theory of relatively Fredholm operators. There is also a chapter devoted to semifinite Dixmier trace. This book will be of interest to specialists in functional analysis, operator theory, operator algebras and mathematical physics.
The Lifshits-Krein spectral shift function and spectral flow are classical and well-established notions of mathematical analysis. Nevertheless, for many years these theories were developed independently. This book gives a unified exposition of the theory of spectral flow and the spectral shift function in semifinite von Neumann algebras, as well as many other topics necessary for such an exposition. These topics include the Brown measure, the Fuglede-Kadison determinant, double and multiple operator integrals, spectral averaging and Breuer's theory of relatively Fredholm operators. There is also a chapter devoted to semifinite Dixmier trace. This book will be of interest to specialists in functional analysis, operator theory, operator algebras and mathematical physics.
Zusammenfassung
Nurulla A. Azamov, PhD, Flinders University Adelaide Australia. Graduated in 1992 from the Moscow State University. Fields of study are functional analysis, operator theory and operator algebras. Lecturer at Flinders University.
Details
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9783639229981
ISBN-10: 3639229983
Sprache: Englisch
Autor: Azamov, Nurulla
Hersteller: VDM Verlag Dr. Müller
Verantwortliche Person für die EU: VDM Verlag Dr. Müller, Brivibas Gatve 197, ?-1039 Riga, customerservice@vdm-vsg.de
Maße: 13 x 150 x 220 mm
Von/Mit: Nurulla Azamov
Gewicht: 0,284 kg
Artikel-ID: 101351197