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Trans-separability in the strict and compact-open topologies

Liaqat Ali Khan
대한수학회 (The Korean Mathematical Society)|2008.11|대한수학회보 (Bulletin of the KMS)|제45권 제4호|pp. 681-687

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참고문헌

키워드

topological vector spacesvector-valued function spacesstrict topologytrans-separable spaces
주제분류수학

초록

We give a characterization of trans-separability for the function spaces (Cb(X,E), β), (C(X,E), k) and (Cb(X,E), u) in the case of E any general topological vector space.

Abstract

We give a characterization of trans-separability for the function spaces (Cb(X,E), β), (C(X,E), k) and (Cb(X,E), u) in the case of E any general topological vector space.

참고문헌 (17)

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  11. V. Klee, "Shrinkable neighborhoods in Hausdorff linear spaces", Mathematische Annalen, 141, pp.281~285 (1960)
  12. M. Krein, "On an inner characteristic of the set of all continuous functions defined on a bicompact Hausdorff space", Comptes Rendus (Doklady) de l'Academie des Sciences URSS (N.S.), 27, pp.427~430 (1940)
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  17. L. Waelbroeck, "Topological Vector Spaces and Algebras" (1971), Springer-Verlag

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