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Operator Hilbert systems

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Publication:2278749
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DOI10.1134/S0016266319020096zbMath1506.47131OpenAlexW2963915913MaRDI QIDQ2278749

A. A. Dosiyev

Publication date: 10 December 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266319020096

zbMATH Keywords

operator systemquantum coneoperator Hilbert systemseparable morphisms of operator systems


Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Linear operators in ({}^*)-algebras (47C10) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)


Related Items

Unnamed Item, Properties of operator systems, corresponding to channels, Projective positivity of the function systems



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Quantum systems and representation theorem
  • Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
  • Projective modules in classical and quantum functional analysis
  • Injectivity and operator spaces
  • The $SOH$ operator system
  • Operator system structures on ordered spaces
  • The maximal operator space of a normed space
  • Quantum duality, unbounded operators, and inductive limits
  • Vector spaces with an order unit
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