Fully and strongly almost summing multilinear mappings

DOI10.1216/rmjm/1181069474zbMath1152.46036OpenAlexW2031060619MaRDI QIDQ2477848

Marcela L. V. Souza, Daniel M. Pellegrino

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181069474

zbMATH Keywords

cotypetypeabsolutely summing operatorsDvoretzky-Rogers theoremfully almost summing multilinear mappingsstrongly almost summing multilinear 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) Multilinear and polynomial operators (47H60)

Related Items (10)

On the transformation of vector-valued sequences by linear and multilinear operators ⋮ On almost summing polynomials and multilinear mappings ⋮ Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ Mixing multilinear operators with or without a linear analogue ⋮ Strongly almost summing holomorphic mappings. ⋮ Multiple Rademacher means and their applications ⋮ Techniques to generate hyper-ideals of multilinear operators ⋮ Almost summing and multiple almost summing multilinear operators on \(l_p\) spaces ⋮ Fully summingmultilinear and holomorphicmappings into Hilbert spaces ⋮ Dominated polynomials on infinite dimensional spaces

Cites Work

• Multiple summing operators on Banach spaces.
• Strongly almost summing holomorphic mappings.
• Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
• Nonlinear absolutely summing mappings
• Cotype and absolutely summing homogeneous polynomials in L_pspaces
• Almost Summing Polynomials
• On a theorem of L. Schwartz and its applications to absolutely summing operators
• Almost \(p\)-summing polynomials and multilinear mappings
• On a question of Pietsch about Hilbert-Schmidt multilinear mappings
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