Tomita-Takesaki Theory in Algebras of Unbo...

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Beschreibung

These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics.

Über den Autor

Atsushi Inoue is a professor emeritus of Fukuoka University. He has researched unbounded operator algebras and unbounded *-representations of (locally convex) *-algebras (bibliography: A. Inoue, Tomita-Takesaki Theory in Algebras of Unbounded Operators, Springer-Verlag, Berlin, 1998; J-P. Antoine, A. Inoue and C. Trapani, Partial *-Algebras and Their Operator Realizations, Math. Appl. 553, Kluwer Academic, Dordrecht, 2002 and about 100 papers)

Inhaltsverzeichnis

Fundamentals of O*-algebras.- Standard systems and modular systems.- Standard weights on O*-algebras.- Physical applications.

Details

Erscheinungsjahr:	1998
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Lecture Notes in Mathematics
Inhalt:	viii 244 S.
ISBN-13:	9783540651949
ISBN-10:	3540651942
Sprache:	Englisch
Herstellernummer:	10650140
Einband:	Kartoniert / Broschiert
Autor:	Inoue, Atsushi
Hersteller:	Springer Springer Vieweg Springer-Verlag GmbH Lecture Notes in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 14 mm
Von/Mit:	Atsushi Inoue
Erscheinungsdatum:	18.11.1998
Gewicht:	0,388 kg