A new distinguishing feature for summing, versus dominated and multiple summing operators

DOI10.1007/s00013-011-0258-xzbMath1228.46041OpenAlexW2067694677MaRDI QIDQ543304

Dumitru Popa

Publication date: 17 June 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0258-x

zbMATH Keywords

Banach spacesmultilinear mappingsabsolutely summing operatorsinclusion resultsmultiple summing operators

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (11)

Nonlinear absolutely summing operators revisited ⋮ On the constants of the Bohnenblust-Hille and Hardy-Littlewood inequalities ⋮ Multiple splitting property for dominated bilinear operators ⋮ Composition results for strongly summing and dominated multilinear operators ⋮ Coincidence Results for Summing Multilinear Mappings ⋮ Mixing multilinear operators ⋮ Sharp coincidences for absolutely summing multilinear operators ⋮ Optimal estimates for summing multilinear operators ⋮ A note on multiple summing operators and applications ⋮ A characterization of type 2 spaces ⋮ Multiple summing, dominated and summing operators on a product of \(l_1\) spaces

Cites Work

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• Bohr's strip for vector valued Dirichlet series
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• Complex interpolation and summability properties of multilinear operators
• Unbounded violation of tripartite Bell inequalities
• Comparing different classes of absolutely summing multilinear operators
• A tensor norm preserving unconditionality for $\mathcal{L}_p$-spaces
• Inclusion theorems for absolutely summing holomorphic mappings
• Inclusions and coincidences for multiple summing multilinear mappings
• Multilinear extensions of Grothendieck's theorem
• The inclusion theorem for multiple summing operators

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