Please use this identifier to cite or link to this item: https://hdl.handle.net/10593/507
Title: On metrizability of compactoid sets in non-archimedean locally convex spaces
Authors: Kakol, Jerzy
Śliwa, Wiesław
Keywords: Compactoid set
Compactoid resolution
Issue Date: 2008
Citation: 10th International Conference on P-Adic and Non-Archimedean Analysis, Michigan State University, East Lansing, Michigan, USA, June 30 to July 3, 2008
Abstract: In 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.
Sponsorship: Adam Mickiewicz University, Poznan, POLAND
Description: These results have been presented at the 10th International Conference on P-Adic and Non-Archimedean Analysis, Michigan State University, East Lansing, Michigan, USA, June 30 to July 3, 2008. Next they have been published in the Indag. Mathem., N.S., 19(2008), 563--578.
URI: http://hdl.handle.net/10593/507
Appears in Collections:Materiały konferencyjne (WMiI)

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