Inclusion theorems for absolutely summing holomorphic mappings

DOI10.1090/S0002-9939-08-09394-5zbMath1157.46023OpenAlexW2081471386MaRDI QIDQ3532525

Mário Carvalho Matos, Heinz Junek, Daniel M. Pellegrino

Publication date: 28 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09394-5

zbMATH Keywords

inclusion theoremsabsolutely summing \( n\)-linear mappings

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (13)

Nonlinear absolutely summing operators revisited ⋮ On almost summing polynomials and multilinear mappings ⋮ Absolutely summing multilinear operators on \(\ell_p\) spaces ⋮ Coincidence Results for Summing Multilinear Mappings ⋮ Sharp coincidences for absolutely summing multilinear operators ⋮ Some techniques on nonlinear analysis and applications ⋮ On summability of nonlinear mappings: a new approach ⋮ Multiple summing, dominated and summing operators on a product of \(l_1\) spaces ⋮ A new distinguishing feature for summing, versus dominated and multiple summing operators ⋮ Multilinear variants of Maurey and Pietsch theorems and applications ⋮ Complex interpolation and summability properties of multilinear operators ⋮ Inclusions and coincidences for multiple summing multilinear mappings ⋮ Dominated polynomials on infinite dimensional spaces

Cites Work

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• A complex interpolation formula for tensor products of vector-valued Banach function spaces
• Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
• Nonlinear absolutely summing mappings
• Multilinear extensions of Grothendieck's theorem
• The inclusion theorem for multiple summing operators
• Absolut p-summierende Abbildungen in normierten Räumen
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications

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