D. Seliutin

most citedOn relation between statistical ideal and ideal generated by a modulus function

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2021★ 1 cited

On relation between statistical ideal and ideal generated by a modulus function

Dmytro Seliutin

We characterize those modulus functions $f$ for which the ideal generated by $f$ 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…

math.FA2020

Conglomerated filters, statistical measures, and representations by ultrafilters

Vladimir Kadets, Dmytro Seliutin

Using a new concept of conglomerated filter we demonstrate in a purely combinatorial way that none of Erdös-Ulam filters or summable filters can be generated by a single statistica…

math.NT2020

Carmichael numbers for $GL (m)$

Eugene Karolinsky, Dmytro Seliutin

We propose a generalization of Carmichael numbers, where the multiplicative group $G_{m} = GL (1)$ is replaced by $GL (m)$ for $m \geq 2$ . We prove ba…

On relation between statistical ideal and ideal generated by a modulus function

Completeness in topological vector spaces and filters on N

Conglomerated filters, statistical measures, and representations by ultrafilters

Carmichael numbers for GL(m)

Carmichael numbers for $GL (m)$