Completely positive projections on a Hilbert space-Reference-Cited by-同舟云学术

Completely positive projections on a Hilbert space

Published:1996 Issue:8 Volume:124 Page:2475-2478
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Miura Yasuhide

Abstract

The purpose of this paper is to prove that a completely positive projection on a Hilbert space associated with a standard form of a von Neumann algebra induces the existence of a conditional expectation of the von Neumann algebra with respect to a normal state, and we consider the application to a standard form of an injective von Neumann algebra.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-08/S0002-9939-96-03321-7/S0002-9939-96-03321-7.pdf

Reference13 articles.

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4. Classification of injective factors. Cases 𝐼𝐼₁, 𝐼𝐼_{∞}, 𝐼𝐼𝐼_{𝜆}, 𝜆̸=1;Connes, A.;Ann. of Math. (2),1976

5. The standard form of von Neumann algebras;Haagerup, Uffe;Math. Scand.,1975

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