Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Martin Sleziak"'
Publikováno v:
Lithuanian Mathematical Journal. 61:56-59
We say that an ideal ℐ has property (T) if for every ℐ-convergent series $$ {\sum}_{n=1}^{\infty }{x}_n, $$ there exists a set A ∈ ℐ such that Σn∈ℕ\A xn converges in the usual sense. The aim of this paper is to construct a nontrivial ide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::142b4bf1447794f43d0c70e81950d625
https://doi.org/10.1007/s10986-020-09504-7
https://doi.org/10.1007/s10986-020-09504-7
Publikováno v:
Journal of Mathematical Analysis and Applications. 423:1150-1165
We study finitely additive measures on the set $\mathbb N$ which extend the asymptotic density (density measures). We show that there is a one-to-one correspondence between density measures and positive functionals in $\ell_\infty^*$, which extend Ce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9f18720ebed326ef9d5102dc57c516b
https://doi.org/10.1016/j.jmaa.2014.10.031
https://doi.org/10.1016/j.jmaa.2014.10.031
Publikováno v:
Topology and its Applications. 173:9-27
In this paper we introduce the notion of I K -Cauchy function, where I and K are ideals on the same set. The I K -Cauchy functions are a generalization of I ⁎ -Cauchy sequences and I ⁎ -Cauchy nets. We show how this notion can be used to characte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5206cc335cb04c271e9713242b5ca7dd
https://doi.org/10.1016/j.topol.2014.05.008
https://doi.org/10.1016/j.topol.2014.05.008
Autor:
Martin Sleziak
Publikováno v:
Applied Categorical Structures. 12:301-317
Let A be a topological space which is not finitely generated and CH(A) denote the coreflective hull of A in Top. We construct a generator of the coreflective subcategory SCH(A) consisting of all subspaces of spaces from CH(A) which is a prime space a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc7000e3240a187e4fa772435a39884a
https://doi.org/10.1023/b:apcs.0000031207.53918.1e
https://doi.org/10.1023/b:apcs.0000031207.53918.1e
Autor:
Martin Sleziak
Hereditary coreflective subcategories of an epireflective subcategory A of Top such that I_2\notin A (here I_2 is the 2-point indiscrete space) were studied in [C]. It was shown that a coreflective subcategory B of A is hereditary (closed under the f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81fdc732ea926b36ad128850f8950d80
http://arxiv.org/abs/1108.5751
http://arxiv.org/abs/1108.5751
Publikováno v:
Real Anal. Exchange 30, no. 2 (2004), 565-580
Let $\mathcal{I}$ be an admissible (i.e., proper and containing all finite subsets of $\mathbb{N}$) ideal of subsets of the set $\mathbb{N}^+$ of positive integers. The concept of $\mathcal{I}$-convergence of sequences in metric spaces generalizes th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d94cfe46bc6e37e4d82b249f286175d8
http://projecteuclid.org/euclid.rae/1129416463
http://projecteuclid.org/euclid.rae/1129416463
Autor:
null Martin Mačaj, null Martin Sleziak
Publikováno v:
Real Analysis Exchange. 36:177
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04cff5b7cb06bdece268442b2e2f147e
https://doi.org/10.14321/realanalexch.36.1.0177
https://doi.org/10.14321/realanalexch.36.1.0177
Autor:
Martin Sleziak
Publikováno v:
Applied Categorical Structures; Aug2008, Vol. 16 Issue 4, p451-478, 28p
Autor:
Martin Sleziak, Miloš Ziman
Publikováno v:
Journal of Number Theory. (12):3005-3012
We will deal with finitely additive measures on integers extending the asymptotic density. We will study their relation to the L\'evy group $\mathcal{G}$ of permutations of $\mathbb N$. Using a new characterization of the L\'evy group $\mathcal G$ we
Externí odkaz:
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