Lorentz summing mappings

DOI10.1002/MANA.200710154zbMath1217.47039OpenAlexW2040818402MaRDI QIDQ3056288

Daniel M. Pellegrino, Mário Carvalho Matos

Publication date: 11 November 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200710154

zbMATH Keywords

absolutely summing operatorsLorentz sequence spacesLorentz summing operators

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Banach sequence spaces (46B45)

Related Items (3)

Operator ideals generated by strongly Lorentz sequence spaces ⋮ On Lorentz nuclear homogeneous polynomials between Banach spaces ⋮ Vector-valued Lorentz sequence spaces and their dual spaces

Cites Work

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• Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
• Strongly \(p\)-summing multilinear operators.
• Coincidence situations for absolutely summing nonlinear mappings
• (p,q;r)-absolutely summing operators
• Comparing different classes of absolutely summing multilinear operators
• The Grothendieck-Pietsch domination principle for nonlinear summing integral operators
• Nonlinear absolutely summing mappings
• Multilinear extensions of Grothendieck's theorem
• Absolut p-summierende Abbildungen in normierten Räumen
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications

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