Brief Communications

Functional Analysis and Its Applications

, Volume 46, Issue 3, pp 228-231

First online:

Bipolar theorem for quantum cones

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In this note duality properties of quantum cones are investigated. We propose a bipolar theorem for quantum cones, which provides a new proof of the operator bipolar theorem proved by Effros and Webster. In particular, a representation theorem for a quantum cone is proved.

Key words

quantum cones absolutely matrix convex set quantum system