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On the strong CE-property of convex sets

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Publication:942061
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DOI10.1134/S000143460709012XzbMath1142.94323MaRDI QIDQ942061

M. E. Shirokov

Publication date: 3 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

continuityconvex functioncompact setconvex envelopeseparable Banach spaceconcave functiontopological linear spaceconvex closureCE-property


Mathematics Subject Classification ID

Information theory (general) (94A15)


Related Items (1)

On the stability of a procedure for solving a minimax control problem for a positional functional



Cites Work

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  • Fundamentals of quantum information theory
  • Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
  • The Holevo capacity of infinite dimensional channels and the additivity problem
  • Expectations and entropy inequalities for finite quantum systems
  • Extremal integral representations
  • Noncompact simplexes in Banach spaces with the Radon-Nikodym property
  • Geometric aspects of convex sets with the Radon-Nikodym property
  • Mixed-state entanglement and quantum error correction
  • Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels
  • On Continuous Convex Functions and Split Faces


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