2 problems

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The vector lattice cover conjecture for order continuous operators on the atomic sequence space
Let $X=\ell_0^\infty$ and let $J$ be the ideal generated by $L_{oc}^\diamond(X)$ in $L_{oc}(X,X^\delta)$ . Vector lattice cover conjecture. The ideal $J$ is a vector lattice cover o…
Conjectureopenorder-continuous-operators pre-riesz-spaces vector-latticesarXiv posted 3 days ago
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The Riesz-completion conjecture for directed ideals in pervasive pre-Riesz spaces
Let $X$ be an Archimedean pervasive pre-Riesz space, let $I\subseteq X$ be a directed ideal, and let $\hat{I}\subseteq X^\varrho$ be the smallest extension ideal of $I$ in the Ries…
Conjectureopenpre-riesz-spaces riesz-completion vector-latticesarXiv posted 3 days ago

The vector lattice cover conjecture for order continuous operators on the atomic sequence space