Sequential convergence in topological vector spaces |
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Authors: | A. K. Katsaras V. Benekas |
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Affiliation: | (1) Department of Mathematics, University if Ioannina, Ioannina, Greece |
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Abstract: | For a given linear topology , on a vector spaceE, the finest linear topology having the same convergent sequences, and the finest linear topology onE having the same precompact sets, are investigated. Also, the sequentially bornological spaces and the sequentially barreled spaces are introduced and some of their properties are studied. |
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Keywords: | 46 A |
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