Regular methods of summability and the weak \(\sigma\)-Fatou property in abstract Banach lattices of integrable functions

Enrique Alfonso Sánchez-Pérez, M. A. Juan, E. Jiménez Férnandez

Publication date: 19 March 2019

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1546570909

zbMATH Keywords

Banach lattice vector measure Fatou property integrable functions regular methods of summability

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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Vector-valued measures and integration (46G10) Summability in abstract structures (40J05) General summability methods (40C99)

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