Integration in Hilbert generated Banach spaces

DOI10.1007/s11856-010-0047-4zbMath1216.46016OpenAlexW1965369119MaRDI QIDQ611031

Robert Deville, José Rodríguez

Publication date: 13 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0047-4

zbMATH Keywords

Pettis integralMcShane integralBochner integralBirkhoff integralHilbert generated Banach spacesuper-reflexive generated Banach space

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Nonseparable Banach spaces (46B26)

Related Items (11)

Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions ⋮ The McShane integral in weakly compactly generated spaces ⋮ The weak McShane integral ⋮ Equilateral and separated sets in some Hilbert generated Banach spaces ⋮ On lineability in vector integration ⋮ Lebesgue-Bochner spaces, decomposable sets and strong weakly compact generation ⋮ On integration in banach spaces and total sets ⋮ On \(p\)-Dunford integrable functions with values in Banach spaces ⋮ A new fuzzy McShane integrability ⋮ Open problems in Banach spaces and measure theory ⋮ On coincidence of Pettis and McShane integrability

Cites Work

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• Absolutely summing operators and integration of vector-valued functions
• The Glivenko-Cantelli problem
• On the integration of vector-valued functions
• The Henstock and McShane integrals of vector-valued functions
• The generalized McShane integral
• Hilbert-generated spaces.
• When do McShane and Pettis integrals coincide?
• The Birkhoff integral and the property of Bourgain
• The McShane integral of Banach-valued functions
• Inner characterizations of weakly compactly generated Banach spaces and their relatives
• On the existence of Pettis integrable functions which are not Birkhoff integrable
• The Bourgain property and convex hulls
• On integration of vector functions with respect to vector measures
• Pointwise limits of Birkhoff integrable functions
• Two Remarks on Absolutely Summing Operators
• On non-separable Banach spaces with a symmetric basis
• Every separable Banach space has a bounded strong norming biorthogonal sequence which is also a Steinitz basis
• On the equivalence of McShane and Pettis integrability in non-separable Banach spaces
• A characterization of variationally McShane integrable Banach-space valued functions

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