Strong barrelledness properties in B(Σ, X)
Copyright policy ) Ferrando, J. C.; Sánchz Ruiz, L. M.;
Strong barrelledness properties in B(Σ, X)
In this paper we show that given a σ-algebra Σ of subsets of a set Ω and a normed space X, then the normed space B(Σ, X), endowed with the usual supremum-norm, of the X-valued functions defined on Ω that are the uniform limit of a sequence of σ-simple X-valued functions on Ω is barrelled of class s if and only if X is barrelled of class s. This extends in the normed case the well known result obtained by Mendoza (1982) for barrelled spaces.
Barrelled spaces, bornological spaces, Spaces of vector- and operator-valued functions, strong barrelledness, barrelled spaces
Barrelled spaces, bornological spaces, Spaces of vector- and operator-valued functions, strong barrelledness, barrelled spaces
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selected citations
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 1
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