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Remarks on regular (LF)-spaces

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Abstract

Developing ideas found in a recent paper of Gilsdorf to arbitrary topological vector spaces (tvs) one shows that a Hausdorff (LB) tv -spaceE is regular provided every null-sequence inE has a series convergent subsequence inE.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Mickiewicz University, Matejki, 48/49, Poznan, (Poland)

    Jerzy Kakol

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  1. Jerzy Kakol
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Received by the editors 1980Mathematics Subject Classification (1985 Revision) 46A12.

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Kakol, J. Remarks on regular (LF)-spaces. Rend. Circ. Mat. Palermo 42, 453–458 (1993). https://doi.org/10.1007/BF02844633

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  • DOI: https://doi.org/10.1007/BF02844633

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