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