On real operator spaces

DOI10.1007/s10114-003-0278-yzbMath1058.46037OpenAlexW2322081039MaRDI QIDQ1412939

Zhong-Jin Ruan

Publication date: 10 November 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0278-y

zbMATH Keywords

\(C^*\)-algebraoperator spaceoperator system

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Operator spaces (= matricially normed spaces) (47L25)

Related Items (11)

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Positive maps and entanglement in real Hilbert spaces ⋮ Coarse geometry of operator spaces and complete isomorphic embeddings into \(\ell_1\) and \(c_0\)-sums of operator spaces ⋮ Counterexamples to the extendibility of positive unital norm-one maps ⋮ Lipschitz geometry of operator spaces and Lipschitz-free operator spaces ⋮ Symplectic dynamical low rank approximation of wave equations with random parameters ⋮ Real operator algebras and real positive maps ⋮ Completely coarse maps are ℝ-linear ⋮ Implicit/inverse function theorems for free noncommutative functions ⋮ Categories of quantum and classical channels ⋮ Real operator algebras and real completely isometric theory

Cites Work

• Real structure in the hyperfinite factor
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Injectivity and operator spaces
• The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms
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