Quantum cones and their duality (Q2862652)
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scientific article; zbMATH DE number 6228399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum cones and their duality |
scientific article; zbMATH DE number 6228399 |
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18 November 2013
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quantum cone
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multinormed \(W^*\)-algebra
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filter base of quantum cones
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Quantum cones and their duality (English)
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The paper deals essentially with the duality properties of quantum cones as a suitable language to handle local matrix positivity in a general setting. The main results of this paper are a bipolar theorem for quantum cones and a classification of weakly closed, unital quantum cones from \(M(\mathcal{P}_V)_+\) as the set of all absorbent, weakly closed, absolutely matrix convex sets in \(M(V)\).
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