Dual operator systems

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Authors
Blecher, David P.
Magajna, Bojan
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Abstract
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We characterize weak* closed unital vector spaces of operators on a Hilbert space $H$. More precisely, we first show that an operator system, which is the dual of an operator space, can be represented completely isometrically and weak* homeomorphically as a weak* closed operator subsystem of $B(H)$. An analogous result is proved for unital operator spaces. Finally, we give some somewhat surprising examples of dual unital operator spaces.
Comment: 10 pages
Keywords
Mathematics - Operator Algebras, Mathematical Physics, Mathematics - Functional Analysis
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