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

18 Jan 2018  ·  Zabeti Omid, Bahramnezhad Akbar ·

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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Functional Analysis