Strong transitivity properties for operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.07.076
Abstract: Given a Furstenberg family $\mathscr{F}$ of subsets of $\mathbb{N}$, an operator $T$ on a topological vector space $X$ is called $\mathscr{F}$-transitive provided for each non-empty open subsets $U$, $V$ of $X$ the set $\{n\in \mathbb{Z}_+… read more here.
Keywords: transitivity properties; properties operators; strong transitivity;
On some properties of operators generated by regular sequences of measurable sets
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.106824
Abstract: Abstract In this paper we will consider S -density topology, which is a generalization of the classical density topology. The notion of S -density was recently introduced by F. Strobin and R. Wiertelak in paper… read more here.
Keywords: regular sequences; properties operators; density; topology ... See more keywords