Geodesic
Bipolar Theorem for Quantum Cones
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 3, pp. 84-89

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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.
Keywords: quantum cones, absolutely matrix convex set, quantum system. 
@article{FAA_2012_46_3_a6,
     author = {A. A. Dosi},
     title = {Bipolar {Theorem} for {Quantum} {Cones}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {84--89},
     publisher = {mathdoc},
     volume = {46},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2012_46_3_a6/}
}
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A. A. Dosi. Bipolar Theorem for Quantum Cones. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 3, pp. 84-89. http://geodesic.mathdoc.fr/item/FAA_2012_46_3_a6/