### Dual operator systemsDual operator systems

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 Author Blecher, David P. ♦ Magajna, Bojan Source arXiv.org Content type Text File Format PDF Date of Submission 2008-07-27 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics Subject Keyword Mathematics - Operator Algebras ♦ Mathematical Physics ♦ Mathematics - Functional Analysis ♦ math ♦ physics:math-ph Abstract 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. Educational Use Research Learning Resource Type Article Page Count 10