Mappings between Banach spaces that send mixed summable sequences into absolutely summable sequences

DOI10.1016/J.JMAA.2004.06.020zbMath1067.47029OpenAlexW2022359592MaRDI QIDQ1883376

Mário Carvalho Matos

Publication date: 12 October 2004

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.2004.06.020

zbMATH Keywords

\((p,q)\)-summabilityabsolutely summable

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Multilinear and polynomial operators (47H60)

Related Items (7)

New types of Lipschitz summing maps between metric spaces ⋮ Strongly (p,q)-summable sequences ⋮ Spaceability in Banach and quasi-Banach sequence spaces ⋮ An anisotropic summability and mixed sequences ⋮ Hypercyclicité d'opérateurs de convolution sur des espaces de fonctions entières ⋮ Holomorphic mappings associated to composition ideals of polynomials ⋮ Generalized multiple summing multilinear operators on Banach spaces

Cites Work

• Nonlinear absolutely summing mappings
• Absolut p-summierende Abbildungen in normierten Räumen
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• On a theorem of L. Schwartz and its applications to absolutely summing operators
• Absolute and Unconditional Convergence in Normed Linear Spaces
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