E. Emelyanov

activity

20132023

most citedOrder convergence in infinite-dimensional vector lattices is not topological

10 citations · 18 across the 18 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.FA2017

Komlos Properties in Banach Lattices

E. Y. Emelyanov, N. Erkursun Ozcan, S. G. Gorokhova

Several Komlós like properties in Banach lattices are investigated. We prove that $C (K)$ fails the $oo$ -pre-Komlós property, assuming that the compact Hausdorff space $K$ has a non…

math.FA2017

$u m$ -Topology in multi-normed vector lattices

Y. A. Dabboorasad, E. Y. Emelyanov, M. A. A. Marabeh

Let $M = {m_{λ}}_{λ \in Λ}$ be a separating family of lattice seminorms on a vector lattice $X$ , then $(X, M)$ is called a multi-normed vector lattice (or MNVL). We…

math.FA2017★ 10 cited

Order convergence in infinite-dimensional vector lattices is not topological

Y. A. Dabboorasad, E. Y. Emelyanov, M. A. A. Marabeh

In this note, we show that the order convergence in a vector lattice $X$ is not topological unless $dim X < \infty$ . Furthermore, we show that, in atomic order continuous Banach lat…

math.FA2017★ 2 cited

Compact-Like Operators in Lattice-Normed Spaces

A. Aydın, E. Yu. Emelyanov, N. Erkurşun Özcan +1

A linear operator $T$ between two lattice-normed spaces is said to be $p$ -compact if, for any $p$ -bounded net $x_{α}$ , the net $T x_{α}$ has a $p$ -convergent subnet. $p$ -Compact operato…

Komlos Properties in Banach Lattices

um-Topology in multi-normed vector lattices

Order convergence in infinite-dimensional vector lattices is not topological

Compact-Like Operators in Lattice-Normed Spaces

$u m$ -Topology in multi-normed vector lattices