Absolutely \((q, 1)\)-summing operators acting in \(C(K)\)-spaces and the weighted Orlicz property for Banach spaces

DOI10.1007/S11117-021-00811-YzbMath1487.46012OpenAlexW3124513437MaRDI QIDQ2045920

Jose M. Calabuig, Enrique Alfonso Sánchez-Pérez

Publication date: 16 August 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-021-00811-y

zbMATH Keywords

Orlicz propertysummabilityoperatorfactorization space

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Cites Work

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• Cotype of operators from \(C(K)\)
• Maurey--Rosenthal factorization of positive operators and convexity
• Cotype and \((q,1)\)-summing norm in a Banach space
• On subspaces of L\(^p\)
• Domination of operators on function spaces
• Absolutely Continuous Operators and Super-Reflexivity
• The associated tensor norm to (q,p)-absolutely summing operators on C(K)-Spaces
• Domination spaces and factorization of linear and multilinear summing operators
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces

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