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Sequential convergence in topological vector spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1995Publisher:Walter de Gruyter GmbHJournal:Georgian Mathematical Journal, volume 2, pages 151-164 (issn: 1072-947X, eissn: 1572-9176,

Authors: V. Benekas; A. K. Katsaras;

doi: 10.1007/bf02257476 , 10.1515/gmj.1995.151

Sequential convergence in topological vector spaces

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Abstract

Abstract For a given linear topology τ, on a vector space E, the finest linear topology having the same τ convergent sequences, and the finest linear topology on E having the same τ precompact sets, are investigated. Also, the sequentially bornological spaces and the sequentially barreled spaces are introduced and some of their properties are studied.

Related Organizations

University of Ioannina
Greece

Keywords

sequentially barreled spaces, General theory of locally convex spaces, Barrelled spaces, bornological spaces, sequential convergence, sequentially bornological spaces, string, sequential space

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