Introduces the category of matricial order operator spaces, proves duality between normality and generation, describes minimal/maximal structures, and equips examples including operator systems, C*-algebras, Schatten spaces, and Banach lattices.
and Laflamme, Raymond and Poulin, David and Lesosky, Maia , TITLE =
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On Matricial Order Operator Spaces
Introduces the category of matricial order operator spaces, proves duality between normality and generation, describes minimal/maximal structures, and equips examples including operator systems, C*-algebras, Schatten spaces, and Banach lattices.