• Title/Summary/Keyword: Barrelledness

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BANACH-STEINHAUS PROPERTIES OF LOCALLY CONVEX SPACES

  • Chengri, Cui;Han, Songho
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.227-232
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    • 1997
  • Banach-Steinhaus type results are established for sequentially continuous operators and bounded operators between locally convex spaces without barrelledness.

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BARRELLEDNESS OF SOME SPACES OF VECTOR MEASURES AND BOUNDED LINEAR OPERATORS

  • FERRANDO, JUAN CARLOS
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1579-1586
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    • 2015
  • 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.