Completely positive projections on a Hilbert space

Miura, Yasuhide

doi:10.1090/S0002-9939-96-03321-7

Completely positive projections on a Hilbert space
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Proc. Amer. Math. Soc. 124 (1996), 2475-2478 Request permission

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.

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