Projective positivity of the function systems

DOI10.1007/s11117-023-00997-3zbMath1529.46036arXiv2303.12510OpenAlexW4384342726MaRDI QIDQ6166183

A. A. Dosiyev

Publication date: 2 August 2023

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.12510

zbMATH Keywords

state spaceoperator systemfunction systemunital coneprojective positivity

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Ordered normed spaces (46B40)

Related Items (1)

Local projective positivity of local function systems

Cites Work

• Quantum systems and representation theorem
• Quantum systems, channels, information. A mathematical introduction.
• Tensor products of operator systems
• Projective modules in classical and quantum functional analysis
• Banach lattices
• Injectivity and operator spaces
• Quotients, exactness, and nuclearity in the operator system category
• Relative projectivity of the modules \(L_p\)
• Operator Hilbert systems
• A joint spectrum for several commuting operators
• Operator system structures on ordered spaces
• Quantum system structures of quantum spaces and entanglement breaking maps
• On the uniform convexity of $L^p$
• Vector spaces with an order unit
• Local projective positivity of local function systems
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