An abstract Banach-Steinhaus theorem and applications to function spaces

DOI10.1007/BF03322300zbMath0801.46003OpenAlexW2063610026MaRDI QIDQ686709

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

Publication date: 11 October 1993

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322300

zbMATH Keywords

barrellednessabstract Banach-Steinhaus theorem for locally convex spacesalgebras of linear projectionsproperty \((B)\) of Pietsch

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) Barrelled spaces, bornological spaces (46A08)

Related Items (3)

On the barrelledness of spaces of bounded vector functions ⋮ Spaces of Vector‐Valued Integrable Functions and Localization of Bounded Subsets ⋮ Barrelledness of Generalized Sums of Normed Spaces

Cites Work

• Unnamed Item
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• Barrelledness of the space of vector valued and simple functions
• Barrelledness conditions on \(S(\Sigma;E)\) and \(B(\Sigma;E)\)
• Barrelledness and bornological conditions on spaces of vector-valued \(\mu\)-simple functions
• Dual density conditions in (DF)-spaces. I
• Spaces of vector-valued continuous functions
• The Space of Pettis Integrable Functions is Barrelled

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