English

$u\tau$-continuous operators on locally solid vector lattices

Functional Analysis 2018-01-19 v3

Abstract

In this note, we consider the space of all continuous operators with respect to the unbounded topology on locally solid vector lattices. We investigate whether this space forms a band. In addition, we look into some situations under which, the modulus of a continuous operator has the same property. Some examples are given to make the context more understandable.

Keywords

Cite

@article{arxiv.1712.01737,
  title  = {$u\tau$-continuous operators on locally solid vector lattices},
  author = {Omid Zabeti and Akbar Bahramnezhad},
  journal= {arXiv preprint arXiv:1712.01737},
  year   = {2018}
}

Comments

Because of some mistakes in the paper, I would like to withdraw it from arXiv

R2 v1 2026-06-22T23:07:33.166Z