Browsing by Author "Kakol, Jerzy"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item On metrizability of compactoid sets in non-archimedean locally convex spaces(2008) Kakol, Jerzy; Śliwa, WiesławIn 2003 N. De Grande-De Kimpe, J. Kakol and C.Perez-Garcia using t-frames and some machinery concerning tensor products proved that compactoid sets in (LM)-spaces are metrizable. In this presentation we show a similar result for locally convex spaces with a L-base. This extends the first mentioned result since every (LM)-space has a L-base. We show that any compactoid subset of a non-archimedean locally convex space E is metrizable if and only if the dual of E with the topology of the uniform convergence on compactoid subsets of E is of countable type.