BARRELLEDNESS OF SOME SPACES OF VECTOR MEASURES AND BOUNDED LINEAR OPERATORS

Title & Authors
BARRELLEDNESS OF SOME SPACES OF VECTOR MEASURES AND BOUNDED LINEAR OPERATORS
FERRANDO, JUAN CARLOS;

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-$\small{Nikod{\acute{y}}m }$ property;
Language
English
Cited by
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