Some mapping properties of \(p\)-summing adjoint operators

DOI10.1016/J.JMAA.2004.08.054zbMath1071.47025OpenAlexW1994379587MaRDI QIDQ1770999

Qingying Bu, Przemo T. Kranz

Publication date: 7 April 2005

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.2004.08.054

zbMATH Keywords

projective tensor product\(p\)-summing operatoralmost unconditionally summable sequence

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (2)

On the transformation of vector-valued sequences by linear and multilinear operators ⋮ Some properties of almost summing operators

Cites Work

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• Duality between spaces of \(p\)-summable sequences, \((p,q)\)-summing operators and characterizations of nuclearity
• A theorem of Littlewood, Orlicz, and Grothendieck about sums in \(L^1(0,1)\)
• Absolutely \(p\)-summing, \(p\)-nuclear operators and their conjugates
• OBSERVATIONS ABOUT THE PROJECTIVE TENSOR PRODUCT OF BANACH SPACES, I—
• Absolut p-summierende Abbildungen in normierten Räumen
• Sums of independent Banach space valued random variables

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