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arXiv · 2009.07401

Bibounded uo-convergence and b-property in vector lattices

Safak Alpay·Eduard Emelyanov·Svetlana Gorokhova
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Abstract

We define bidual bounded $uo$-convergence in vector lattices and investigate relations between this convergence and $b$-property. We prove that for a regular Riesz dual system $\langle X,X^{\sim}\rangle$, $X$ has $b$-property if and only if the order convergence in $X$ agrees with the order convergence in $X^{\sim\sim}$.

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Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova. 2020-09-16. Bibounded uo-convergence and b-property in vector lattices. https://arxiv.org/abs/2009.07401

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