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

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.

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