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arXiv · 0807.4250

Dual operator systems

David P. Blecher·Bojan Magajna
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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.

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BibTeXRIS

David P. Blecher, Bojan Magajna. 2008-07-27. Dual operator systems. https://doi.org/10.1112/blms%2Fbdq103

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