When do McShane and Pettis integrals coincide?

zbMath1045.28006MaRDI QIDQ1419643

David Preiss, Luisa Di Piazza

Publication date: 19 January 2004

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

zbMATH Keywords

Pettis integralMcShane integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (19)

Absolutely summing operators and integration of vector-valued functions ⋮ On the existence of Pettis integrable functions which are not Birkhoff integrable ⋮ Gauge integrals and selections of weakly compact valued multifunctions ⋮ The McShane integral in weakly compactly generated spaces ⋮ The weak McShane integral ⋮ Integration in Hilbert generated Banach spaces ⋮ On lineability in vector integration ⋮ Dunford-Henstock-Kurzweil and Dunford-McShane integrals of vector-valued functions defined on \(m\)-dimensional bounded sets ⋮ Relations among Henstock, McShane and Pettis integrals for multifunctions with compact convex values ⋮ On integration of vector functions with respect to vector measures ⋮ Multifunctions determined by integrable functions ⋮ A Girsanov result for the Pettis integral ⋮ A new fuzzy McShane integrability ⋮ On the equivalence of McShane and Pettis integrability in non-separable Banach spaces ⋮ On the equivalence of McShane and Pettis integrability in non-separable Banach spaces ⋮ Open problems in Banach spaces and measure theory ⋮ A characterization of absolutely summing operators by means of McShane integrable functions ⋮ Properties of the Riemann-Lebesgue integrability in the non-additive case ⋮ On coincidence of Pettis and McShane integrability

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