Improving integrability via absolute summability: a general version of Diestel's theorem

DOI10.1007/s11117-015-0361-5zbMath1377.46026arXiv1502.01970OpenAlexW3104484186MaRDI QIDQ291983

Pilar Rueda, Enrique Alfonso Sánchez-Pérez, Daniel M. Pellegrino

Publication date: 10 June 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01970

zbMATH Keywords

absolutely continuous operatorabsolutely summing operatorBochner integrable function.Pettis integrable functionRS-abstract summing operator

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (1)

On \(p\)-Dunford integrable functions with values in Banach spaces

Cites Work

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• Absolutely Continuous Operators and Super-Reflexivity
• The associated tensor norm to (q,p)-absolutely summing operators on C(K)-Spaces
• On operator ideals related to (p,σ)-absolutely continuous operators

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