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Tomita's Theory of Modular Hilbert Algebras and its Applications de M. Takesaki

Tomita's Theory of Modular Hilbert Algebras and its Applications: Lecture Notes in Mathematics, cartea 128

Autor M. Takesaki
en Limba Engleză Paperback –

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Specificații

ISBN-13: 9783540049173
ISBN-10: 3540049177
Pagini: 128
Ilustrații: IV, 124 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.19 kg
Ediția:1970
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Preliminaries.- Modular Hilbert algebras.- Generalized Hilbert algebras.- The commutation theorem for modular Hilbert algebras.- Self-adjoint subalgebras of generalized Hilbert algebras.- The spectral algebra.- The modular operator ?.- The resolvent of the modular operator ?.- The one-parameter automorphisms defined by the modular operator ?.- Formulation of the modular Hilbert algebra.- Tensor product and direct sum of modular Hilbert algebras.- The standard representation of von Neumann algebras.- The modular automorphism group and the Kubo-Martin-Schwinger boundary condition.- Semi-finiteness and the modular automorphism group.