Topological algebras of bounded operators with locally solid Riesz spaces

Abdullah Aydın

Topological algebras of bounded operators with locally solid Riesz spaces

Functional Analysis 2018-02-12 v1

Authors: Abdullah Aydın

Abstract

Let $X$ be a vector lattice and $(E,\tau)$ be a locally solid vector lattice. An operator $T:X\to E$ is said to be $ob$ -bounded if, for each order bounded set $B$ in $X$ , $T(B)$ is topologically bounded in $E$ . In this paper, we study on algebraic properties of $ob$ -bounded operators with respect to the topology of uniform convergence and equicontinuous convergence.

Keywords

vector lattice locally solid riesz space ob-bounded operators uniform convergence topology equicontinuous convergence

Cite

@article{arxiv.1802.03163,
  title  = {Topological algebras of bounded operators with locally solid Riesz spaces},
  author = {Abdullah Aydın},
  journal= {arXiv preprint arXiv:1802.03163},
  year   = {2018}
}

Related papers

View all related →