期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1995
卷号：18
DOI：10.1155/S0161171295000846
出版社：Hindawi Publishing Corporation
摘要：In this paper, we examine Mackey convergence with respect to K-convergence
and bornological (Hausdorff locally convex) spaces. In particular,
we prove that: Mackey convergence and local completeness imply property K;
there are spaces having K- convergent sequences that are not Mackey
convergent; there exists a space satisfying the Mackey convergence condition, is
barrelled, but is not bornological; and if a space satisfies the biackey
convergence condition and every sequentially continuous seminorm is
continuous, then the space is bornological.
