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arXiv · 2405.07073

A topology on the Fremlin tensor product of locally convex-solid vector lattices

Omid Zabeti
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Abstract

Suppose E and F are locally convex-solid vector lattices. Although we have a suitable vector lattice structure for the tensor product E and F (known as the Fremlin tensor product and denoted by E\otimesF), there is a lack of topological structure on E\otimes F, in general. In this note, we consider a topological attitude on E\otimes F that makes it into a locally convex-solid vector lattice, as well.

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Omid Zabeti. 2024-05-11. A topology on the Fremlin tensor product of locally convex-solid vector lattices. https://arxiv.org/abs/2405.07073

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