Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619246 | Journal of Mathematical Analysis and Applications | 2010 | 6 Pages |
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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