A categorical approach to injective envelopes
Copyright policy )A categorical approach to injective envelopes
We explore functors between operator space categories, some properties of these functors, and establish relations between objects in these categories and their images under these functors, in particular regarding injectivity and injective envelopes. We also compare the purely categorical definition of injectivity with the `standard' operator theoretical definition. An appendix by D. P. Blecher discusses the unitization of an operator space and its injective envelope.
With an appendix by David P. Blecher
- University of Houston United States
- University of Houston Sugar Land United States
unital operator space, real injective envelope, Mathematics - Operator Algebras, \(G\)-injective envelope, Categories, functors in functional analysis, real operator space, unital operator system, General theory of \(C^*\)-algebras, complex operator system, category, \(G\)-operator system, FOS: Mathematics, Operator spaces and completely bounded maps, \(G\)-operator space, functor, General theory of categories and functors, Operator Algebras (math.OA), real operator system, complex operator space, discrete group
unital operator space, real injective envelope, Mathematics - Operator Algebras, \(G\)-injective envelope, Categories, functors in functional analysis, real operator space, unital operator system, General theory of \(C^*\)-algebras, complex operator system, category, \(G\)-operator system, FOS: Mathematics, Operator spaces and completely bounded maps, \(G\)-operator space, functor, General theory of categories and functors, Operator Algebras (math.OA), real operator system, complex operator space, discrete group
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