Complemented subspaces of spaces of multilinear forms and tensor products. II. Noncommutative \(L_p\) spaces

DOI10.1016/j.jmaa.2014.11.030zbMath1318.46028OpenAlexW1982737076MaRDI QIDQ486592

Félix Cabello Sánchez

Publication date: 16 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.11.030

zbMATH Keywords

von Neumann algebramultilinear formsSchatten \(p\)-classamenable von Neumann algebrabalanced multilinear mappingsnoncommutative \(L_p\) space

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Noncommutative function spaces (46L52)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pointwise tensor products of function spaces
• Completely bounded and ideal norms of multiplication operators and Schur multipliers
• The Radon-Nikodym theorem for \(L^p\)-spaces of \(W^*\)-algebras
• On the structure of tensor products of \(\ell_ p\)-spaces
• Theory of operator algebras. III
• Polynomials in operator space theory
• On some extension properties of von Neumann algebras
• Diagonal submatrices of matrix maps
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• On the projection of norm one in $W^ *$-algebras
• UNEXPECTED SUBSPACES OF TENSOR PRODUCTS
• Projective tensor products and the Dunford–Pettis property
• Dual of non-commutative L^p-spaces with 0 < p < 1
• Produits tensoriels d'espaces vectoriels topologiques
• Remarks on complemented subspaces of von Neumann algebras
• Injective von Neumann Algebras
• Diagonal Nuclear Operators on l p Spaces
• Complemented subspaces of spaces of multilinear forms and tensor products