## Dual operator systems

##### Authors
Blecher, David P.
Magajna, Bojan
##### Description
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