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http://dx.doi.org/10.4134/BKMS.2015.52.5.1579

BARRELLEDNESS OF SOME SPACES OF VECTOR MEASURES AND BOUNDED LINEAR OPERATORS  

FERRANDO, JUAN CARLOS (CENTRO DE INVESTIGACION OPERATIVA UNIVERSIDAD MIGUEL HERNANDEZ)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 1579-1586 More about this Journal
Abstract
In this paper we investigate the barrellednes of some spaces of X-valued measures, X being a barrelled normed space, and provide examples of non barrelled spaces of bounded linear operators from a Banach space X into a barrelled normed space Y, equipped with the uniform convergence topology.
Keywords
barrelled space; vector measure; bounded linear operator; projective and injective tensor product; Radon-$Nikod{\acute{y}}m $ property;
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