On lineability in vector integration

DOI10.1007/s00009-012-0190-8zbMath1260.28009OpenAlexW2017881801MaRDI QIDQ1943591

José Rodríguez

Publication date: 20 March 2013

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

Full work available at URL: https://doi.org/10.1007/s00009-012-0190-8

zbMATH Keywords

Pettis integralMcShane integralBochner integralDunford integralBirkhoff integralsuper-reflexive generated Banach spaceweakly Lindelöf determined Banach spacescalarly measurable 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 (2)

Undominated sequences of integrable functions ⋮ Comparison between Birkhoff integral and Gould integral

Cites Work

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• The McShane integral in weakly compactly generated spaces
• Boundedness of biorthogonal systems in Banach spaces
• Integration in Hilbert generated Banach spaces
• Lineability, spaceability, and algebrability of certain subsets of function spaces
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• Lineability in subsets of measure and function spaces
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• Riemann integrability and Lebesgue measurability of the composite function
• Riemann integration in Banach spaces
• On the integration 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
• Inner characterizations of weakly compactly generated Banach spaces and their relatives
• Algebraic genericity of strict-order integrability
• On the existence of Pettis integrable functions which are not Birkhoff integrable
• The Bourgain property and convex hulls
• On the equivalence of McShane and Pettis integrability in non-separable Banach spaces
• Functional analysis and infinite-dimensional geometry

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