Polynomials in operator space theory

DOI10.1016/j.jfa.2014.02.018zbMath1305.46040OpenAlexW2009833806MaRDI QIDQ2511666

Dirk Wiesner, Andreas Defant

Publication date: 6 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.02.018

zbMATH Keywords

matrix productoperator spaceKronecker productSchur productcompletely bounded polynomialmaximal operator space

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (4)

Complemented subspaces of spaces of multilinear forms and tensor products. II. Noncommutative \(L_p\) spaces ⋮ Polynomials in operator space theory: matrix ordering and algebraic aspects ⋮ Operator space tensor products and inductive limits ⋮ Spectra of elements in operator space tensor products of \(\mathrm{C}^{\ast}\)-algebras

Cites Work

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• Explicit lower and upper bounds on the entangled value of multiplayer XOR games
• All Schatten spaces endowed with the Schur product are \(Q\)-algebras
• Unbounded violation of tripartite Bell inequalities
• Completely bounded polynomials between operator spaces
• Grothendieck’s Theorem, past and present
• Quotient Algebras of Uniform Algebras

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