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Complete orthogonal decomposition homomorphisms between matrix ordered Hilbert spaces |
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| Authors: | Yasuhide Miura Kiminao Nishiyama |
| Affiliation: | Department of Mathematics, Faculty of Humanities and Social Sciences, Iwate University, Morioka, 020-8550, Japan ; Niitsu Senior High School, Niitsu, 956-0832, Japan |
| Abstract: | The purpose of this paper is to show that a complete order homomorphism and a complete orthogonal decomposition homomorphism between the non-commutative  -spaces induce respectively an isomorphism and a  -isomorphism between the associated reduced von Neumann algebras. |
| Keywords: | Standard form of von Neumann algebra completely positive map matrix ordered Hilbert space orthogonal decomposition homomorphism |
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