A wide class of ultrabornological spaces of measurable functions

DOI10.1006/JMAA.1995.1104zbMath0877.46002OpenAlexW1975308593MaRDI QIDQ1892234

Miguel Florencio, Antonio Fernández, Santiago Díaz, Pedro J. Paúl

Publication date: 8 June 1995

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1104

zbMATH Keywords

ultrabornologicalintegrable functionsBoolean algebra of projectionsMcShanebornological locally convex spacePettisspaces of Dunfordultrabornological DF-space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Barrelled spaces, bornological spaces (46A08)

Related Items (6)

Absolutely summing operators and integration of vector-valued functions ⋮ A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ THE COMPLETENESS PROBLEM IN SPACES OF PETTIS INTEGRABLE FUNCTIONS ⋮ \((DF)\)-spaces of vector-valued integrable functions ⋮ On \(p\)-Dunford integrable functions with values in Banach spaces ⋮ Spaces of vector functions that are integrable with respect to vector measures

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