Completely positive projections on a Hilbert space

被引：2
|
作者：
Miura, Y
机构：
[1] Department of Mathematics, College of Humanities and Social Sciences, Iwate University
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 08期
关键词：
completely positive map; selfdual cone; conditional expectation; standard form of von Neumann algebra; injective von Neumann algebra;
D O I：
10.1090/S0002-9939-96-03321-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：2475 / 2478
页数：4
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