On Extreme Points of Sets in Operator Spaces and State Spaces

We obtain a representation of the set of quantum states in terms of barycenters of nonnegative normalized finitely additive measures on the unit sphere of a Hilbert space . For a measure on , we find conditions in terms of its properties under which the barycenter of this measure belongs to the set...

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Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2024-03, Vol.324 (1), p.4-17
Hauptverfasser:	Amosov, G. G., Bikchentaev, A. M., Sakbaev, V. Zh
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Algebra Center of gravity Hilbert space Mathematics Mathematics and Statistics Operators (mathematics)
Online-Zugang:	Volltext
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