On the existence of Pettis integrable functions which are not Birkhoff integrable
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Publication:3155948
DOI10.1090/S0002-9939-04-07665-8zbMath1058.28010MaRDI QIDQ3155948
Publication date: 5 January 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Pettis integralMcShane integralBirkhoff integralLebesgue dominated convergence theoremweakly Lindelöff determined Banach space
Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Nonseparable Banach spaces (46B26)
Related Items (15)
Absolutely summing operators and integration of vector-valued functions ⋮ Integration in Hilbert generated Banach spaces ⋮ On lineability in vector integration ⋮ A convergence theorem for the Birkhoff integral ⋮ On the integration of Riemann-measurable vector-valued functions ⋮ On integration of vector functions with respect to vector measures ⋮ Pointwise limits of Birkhoff integrable functions ⋮ An extension of the Birkhoff integrability for multifunctions ⋮ Weak continuity of Riemann integrable functions in Lebesgue-Bochner spaces ⋮ Convergence theorems for the Birkhoff integral ⋮ 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 ⋮ On Birkhoff integrability for scalar functions and vector measures ⋮ SOME EXAMPLES IN VECTOR INTEGRATION ⋮ Spaces of vector functions that are integrable with respect to vector measures
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- Functional analysis and infinite-dimensional geometry
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