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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


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