
arXiv: math/0312501
We use the injective envelope to study quasimultipliers of operator spaces. We prove that all representable operator algebra products that an operator space can be endowed with are induced by quasimultipliers. We obtain generalizations of the Banach-Stone theorem.
Multipliers, quasimultipliers, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), operator spaces, Mathematics - Operator Algebras, Banach--Stone theorem, injective envelope, Functional Analysis (math.FA), Mathematics - Functional Analysis, Injective, General theory of \(C^*\)-algebras, 46L05 (Primary) 46A22, 46H25, 46M10, 47A20 (Secondary), Banach–Stone, FOS: Mathematics, Operator spaces and completely bounded maps, Operator spaces, Dilations, extensions, compressions of linear operators, Operator Algebras (math.OA), Analysis
Multipliers, quasimultipliers, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), operator spaces, Mathematics - Operator Algebras, Banach--Stone theorem, injective envelope, Functional Analysis (math.FA), Mathematics - Functional Analysis, Injective, General theory of \(C^*\)-algebras, 46L05 (Primary) 46A22, 46H25, 46M10, 47A20 (Secondary), Banach–Stone, FOS: Mathematics, Operator spaces and completely bounded maps, Operator spaces, Dilations, extensions, compressions of linear operators, Operator Algebras (math.OA), Analysis
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