Matrix regular operator space and operator system |
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Authors: | Kyung Hoon Han |
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Affiliation: | Department of Mathematical Sciences, Seoul National University, San 56-1 ShinRimDong KwanAk-Gu, 151-747 Seoul, Republic of Korea |
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Abstract: | We establish a relationship between Schreiner's matrix regular operator space and Werner's (nonunital) operator system. For a matrix ordered operator space V with complete norm, we show that V is completely isomorphic and complete order isomorphic to a matrix regular operator space if and only if both V and its dual space V∗ are (nonunital) operator systems. |
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Keywords: | Matrix regular operator space Operator system |
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