Factorization of \(p\)-completely bounded multilinear maps

DOI10.2140/PJM.1996.172.187zbMath0853.46054OpenAlexW1583898014MaRDI QIDQ1919892

Christian Le Merdy

Publication date: 29 August 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1996.172.187

zbMATH Keywords

completely bounded multilinear mapsadapted multilinear Schur product mapsChristensen-Sinclair representation theoremRuan's representation theorem

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) General theory of (C^*)-algebras (46L05) Linear spaces of operators (47L05) Tensor products in functional analysis (46M05)

Related Items (12)

A note on the \(p\)-operator space structure of the \(p\)-analog of the Fourier-Stieltjes algebra ⋮ The existence of \(p\)-convex tensor products of \(L_p(X)\)-spaces for the case of an arbitrary measure ⋮ On the structure of semigroups on L_p with a bounded H^∞ -calculus ⋮ Multi-normed spaces based on non-discrete measures and their tensor products ⋮ Representations of étale groupoids on \(L^p\)-spaces ⋮ Quantitative \(K\)-theory for Banach algebras ⋮ On \(p\)-completely contractive homomorphisms of Figà-Talamanca-Herz algebras ⋮ \(p\)-mapping spaces for \(p\)-operator spaces on \(L_{p}\) spaces ⋮ Column and row operator spaces over \(\mathrm{QSL}_p\)-spaces and their use in abstract harmonic analysis ⋮ A note on \(p\)-completely bounded homomorphisms of the Figà-Talamanca-Herz algebras ⋮ Order structure of the Figà-Talamanca-Herz algebra ⋮ On \(p\)-approximation properties for \(p\)-operator spaces

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