Multi-normed spaces based on non-discrete measures and their tensor products

DOI10.1070/IM8589zbMath1400.46045arXiv1706.00625MaRDI QIDQ4568555

Alexander Ya. Helemskii

Publication date: 22 June 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00625

zbMATH Keywords

\(L\)-space\(L\)-boundedness\(p\)-convex tensor product\(p\)-multi-normed spacesgeneral \(L\)-tensor product

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Tensor products in functional analysis (46M05)

Related Items

The existence of \(p\)-convex tensor products of \(L_p(X)\)-spaces for the case of an arbitrary measure ⋮ Tensor products of normed and Banach quasi \(^*\)-algebras

Cites Work

• Tensor products of operator spaces
• Operator space structure and amenability for Figà--Talamanca--Herz algebras
• Factorization of \(p\)-completely bounded multilinear maps
• On the Transpose Map of Matrix Algebras
• Multi-norms and the injectivity of L ^p (G )
• Multi-normed spaces
• A New Approach to Operator Spaces
• Multi-norms and Banach lattices
• Equivalence of multi-norms
• Produits tensoriels topologiques et espaces nucléaires
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