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The Mackey convergence condition for spaces with webs

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  • Thomas E. Gilsdorf

Abstract

If each sequence converging to 0 in a locally convex space is also Mackey convergent to 0 , that space is said to satisfy the Mackey convergence condition. The problem of characterizing those locally convex spaces with this property is still open. In this paper, spaces with compatible webs are used to construct both a necessary and a sufficient condition for a locally convex space to satisfy the Mackey convergence condition.

Suggested Citation

  • Thomas E. Gilsdorf, 1988. "The Mackey convergence condition for spaces with webs," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:701567
    DOI: 10.1155/S0161171288000559
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