Barrelledness conditions on \(S(\Sigma;E)\) and \(B(\Sigma;E)\)

DOI10.1007/BF01456405zbMath0477.46030OpenAlexW3008632362MaRDI QIDQ1160858

José Mendoza

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182902

zbMATH Keywords

barrelleduniform convergence topologyinfrabarrelleduniform limit of vector valued simple functions

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 (5)

A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ Strong barrelledness properties in B(Σ, X) ⋮ Barrelledness and bornological conditions on spaces of vector-valued \(\mu\)-simple functions ⋮ An abstract Banach-Steinhaus theorem and applications to function spaces ⋮ Complemented copies of \(c_0\) in the vector-valued bounded function space

Cites Work

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• Permanence properties of C(X,E)
• Espaces de fonctions continues
• Über die Tonneliertheit von lokalkonvexen Tensorprodukten
• A representation theory of continuous linear maps
• Integral representation theorems in topological vector spaces
• Barrelledness conditions on \(c_0(E)\)

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