p-Summing operators on injective tensor products of spaces

DOI10.1017/S0308210500032145zbMath0793.47017arXivmath/9201215OpenAlexW2163384338WikidataQ114116770 ScholiaQ114116770MaRDI QIDQ4004564

Stephen J. Montgomery-Smith, Paulette Saab

Publication date: 27 September 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9201215

zbMATH Keywords

injective tensor productScript-L\(_ \infty\)-spacespace of \(p\)- summing operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Tensor products in functional analysis (46M05)

Related Items (12)

Integral mappings between Banach spaces ⋮ Complemented Copies of l ₁ in Spaces of Vector Measures and Applications ⋮ Dominated multilinear operators defined on tensor products of Banach spaces ⋮ Operator-valued operators that are associated to vector-valued operators ⋮ 2-summing operators on \(C([0, 1, l_p\)) with values in \(l_{1}\)] ⋮ Examples of summing, integral and nuclear operators on the space \(C([0,1,X)\) with values in \(C_{0}\)] ⋮ Absolutely \((r,q)\)-summing operators on vector-valued function spaces ⋮ Dominatedn-linear operators with respect to a system ofnbounded linear operators ⋮ 2-absolutely summing operators on the space \(C(T,X)\) ⋮ Pietsch integral operators defined on injective tensor products of spaces and applications ⋮ Integral and nuclear operators on the space \(C(\Omega,c_0)\) ⋮ Remarks on multiple summing operators on \(C(\Omega)\)-spaces

Cites Work

• Unnamed Item
• Relations between summing norms of mappings on \(\ell ^ n_{\infty}\)
• Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations
• Some mapping properties of representing measures
• The dimension of almost spherical sections of convex bodies
• Characterizations of Banach spaces whose duals are \(L_ 1\) spaces

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