Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A STRONG UNIFORM BOUNDEDNESS RESULT ON κ-SPACES

  • Cho, Min-Hyung (Department of Applied Mathematics Kum-Oh National University of Technology)
  • Received : 1995.09.14
  • Published : 1996.03.15
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Abstract

A strong Banach-Mackey property is established for ${\kappa}$-spaces including all complete and some non-complete metric linear spaces and some non-metrizable locally convex spaces. As applications of this result, a strong uniform boundedness result and a new Banach-Steinhaus type theorem are obtained.

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