• 제목/요약/키워드: Barrelledness

검색결과 4건 처리시간 0.021초

BANACH-STEINHAUS PROPERTIES OF LOCALLY CONVEX SPACES

  • Chengri, Cui;Han, Songho
    • Korean Journal of Mathematics
    • /
    • 제5권2호
    • /
    • pp.227-232
    • /
    • 1997
  • Banach-Steinhaus type results are established for sequentially continuous operators and bounded operators between locally convex spaces without barrelledness.

  • PDF

BARRELLEDNESS OF SOME SPACES OF VECTOR MEASURES AND BOUNDED LINEAR OPERATORS

  • FERRANDO, JUAN CARLOS
    • 대한수학회보
    • /
    • 제52권5호
    • /
    • pp.1579-1586
    • /
    • 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.