uτ-continuous operators on locally solid vector lattices

2017/12/05 by Zabeti, Omid, Bahramnezhad, Akbar
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1712.01737

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.

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