Absolutely summing operators and integration of vector-valued functions

DOI10.1016/j.jmaa.2005.05.001zbMath1097.46028OpenAlexW2079260573MaRDI QIDQ819734

José Rodríguez

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.001

zbMATH Keywords

Pettis integralMcShane integralBochner integralabsolutely summing operatorDunford integralnon-separable Banach spacesBirkhoff integralproperly measurable function

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Vector-valued measures and integration (46G10) Linear composition operators (47B33)

Related Items (11)

Nonlinear absolutely summing operators revisited ⋮ Improving integrability via absolute summability: a general version of Diestel's theorem ⋮ On set-valued cone absolutely summing maps ⋮ Characterizations of continuous operators on \(C_b(X)\) with the strict topology ⋮ Integration in Hilbert generated Banach spaces ⋮ A characterization of strongly measurable Kurzweil-Henstock integrable functions and weakly continuous operators ⋮ On \(p\)-Dunford integrable functions with values in Banach spaces ⋮ A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability ⋮ A Girsanov result for the Pettis 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

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