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Completely positive projections on a Hilbert space |
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| Authors: | Yasuhide Miura |
| Institution: | Department of Mathematics, College of Humanities and Social Sciences, Iwate University, Morioka 020, Japan |
| 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. |
| Keywords: | Completely positive map selfdual cone conditional expectation standard form of von Neumann algebra injective von Neumann algebra |
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