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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Tomita's Lectures on Observable Algebras in Hilbert Space

Tomita's Lectures on Observable Algebras in Hilbert Space

Inoue, Atsushi

Paperback

Series: Lecture Notes in Mathematics, Book 2285

AlgebraGeneral MathematicsPhysics

ISBN10: 3030688925
ISBN13: 9783030688929
Publisher: Springer Nature
Published: Mar 3 2021
Pages: 190
Weight: 0.64
Height: 0.43 Width: 6.14 Depth: 9.21
Language: English
​This book is devoted to the study of Tomita's observable algebras, their structure and applications.
It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex*-algebras that this theory includes Tomita-Takesaki theory as a special case; every observable algebra can be regarded as an operator algebra on a Pontryagin space with codimension 1. All of the results are proved in detail and the basic theory of operator algebras on Hilbert space is summarized in an appendix.

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