The Mackey convergence condition for spaces with webs

[摘要] If each sequence converging to0in a locally convex space is also Mackey convergent to0, 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.

[学科分类] 数学（综合）