Barrelledness of some spaces of vector measures and bounded linear operators
Bull. Korean Math. Soc. 2015 Vol. 52, No. 5, 1579-1586
https://doi.org/10.4134/BKMS.2015.52.5.1579
Printed September 30, 2015
Juan Carlos Ferrando
Universidad Miguel Hern\'{a}ndez
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\'{y}m property
MSC numbers : 46A08, 46G10, 46B28
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