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math.FA2021★ 1 cited
On relation between statistical ideal and ideal generated by a modulus function
Dmytro Seliutin
We characterize those modulus functions for which the ideal generated by is equal to the statistical ideal.
math.FA2021
Completeness in topological vector spaces and filters on N
Vladimir Kadets, Dmytro Seliutin
We study completeness of a topological vector space with respect to different filters on the set N of all naturals. In the metrizable case all these kinds of completeness are the s…