The McShane integral in weakly compactly generated spaces

DOI10.1016/j.jfa.2010.08.007zbMath1213.46037arXiv1001.4896OpenAlexW2963622495MaRDI QIDQ600960

Grzegorz Plebanek, Antonio Avilés López, José Rodríguez

Publication date: 3 November 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4896

zbMATH Keywords

Pettis integralMcShane integralfilling familyscalarly null function

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Nonseparable Banach spaces (46B26)

Related Items (7)

Gauge integrals and selections of weakly compact valued multifunctions ⋮ On lineability in vector integration ⋮ Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions ⋮ INTEGRABILITY OF AN INTERVAL-VALUED MULTIFUNCTION WITH RESPECT TO AN INTERVAL-VALUED SET MULTIFUNCTION ⋮ A new fuzzy McShane integrability ⋮ Open problems in Banach spaces and measure theory ⋮ On coincidence of Pettis and McShane integrability

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• Pettis integral and measure theory
• On Integration in Vector Spaces
• Biorthogonal systems in Banach spaces
• On the equivalence of McShane and Pettis integrability in non-separable Banach spaces

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