Testing on null sequences is enough for Bochner integrability

DOI10.1017/S0004972700017767zbMath0862.46027OpenAlexW2122170746MaRDI QIDQ5284212

Pedro J. Paúl, Fernando Mayoral

Publication date: 22 January 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700017767

zbMATH Keywords

Fréchet spaceRadon measure spacedual density conditioncomplete (DF)-spaceBochner \(p\)-integrabletopology of uniform convergence on the norm-null sequences

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued measures and integration (46G10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Cites Work

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• Dual density conditions in (DF)-spaces. I
• Spaces of Vector‐Valued Integrable Functions and Localization of Bounded Subsets

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