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

Omid Zabeti; Akbar Bahramnezhad

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arXiv · 1712.01737

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

Omid Zabeti·Akbar Bahramnezhad

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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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BibTeX RIS

Omid Zabeti, Akbar Bahramnezhad. 2017-12-05. $u\tau$-continuous operators on locally solid vector lattices. https://arxiv.org/abs/1712.01737

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