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• W4313302461 abstract "We describe how self-adjoint ordered operator spaces, also called non-unital operator systems in the literature, can be understood as $*$-vector spaces equipped with a matrix gauge structure. We explain how this perspective has several advantages over other notions of non-unital operator systems in the literature. In particular, the category of matrix gauge $*$-vector spaces includes injective objects and a Webster-Winkler-type duality theorem, both of which we show generally fail with other notions of non-unital operator systems. As applications, we characterize those subspaces of operator systems which are kernels of completely positive maps and define a new operator space structure on the matrix ordered dual of an operator system generalizing the classical notion of a base norm space." @default.
• W4313302461 created "2023-01-06" @default.
• W4313302461 creator A5088897193 @default.
• W4313302461 date "2022-12-20" @default.
• W4313302461 modified "2023-10-09" @default.
• W4313302461 title "Characterizations of Ordered Self-adjoint Operator Spaces" @default.
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• W4313302461 doi "https://doi.org/10.1007/s11785-022-01317-5" @default.
• W4313302461 hasPublicationYear "2022" @default.
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