WEAK and NORM COMPACTNESS ON KÖTHE-BOCHNER FUNCTION SPACES

DOI10.1080/16073606.1998.9632027zbMath1083.46506OpenAlexW2021450701MaRDI QIDQ4236497

Fernando Mayoral, Santiago Díaz

Publication date: 1998

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1998.9632027

zbMATH Keywords

weak convergencesummabilitynorm compactnessKöthe-Bochner function spaceuniform \(\Lambda\)-integrability

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) Tauberian theorems (40E05) Classical measure theory (28A99)

Cites Work

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• Banach lattices
• Sur les espaces de Köthe
• Weak Cauchy Sequences in L 1 (E)
• Weak compactness in 𝐿¹(𝜇,𝑋)

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