https://rgosa.net/forums/topic-tag/banach-lattice/ Research Group on Ordered Structures with Applications Sun, 01 Jun 2025 15:36:05 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.1 https://rgosa.net/wp-content/uploads/2022/08/cropped-cropped-8626c6d2-2759-4bca-a567-46b35d3c9a3f_200x200-1-1-32x32.png https://rgosa.net/forums/topic-tag/banach-lattice/ 32 32 https://rgosa.net/forums/topic/is-every-norm-dense-order-dense-sublattice-super-order-dense-2/ Wed, 09 Apr 2025 08:44:03 +0000 https://rgosa.net/forums/topic/is-every-norm-dense-order-dense-sublattice-super-order-dense-2/ } 0$ there is $f\in F$ such that $0 \lt f\le e$. Note that since $E$ is Archimedean, order denseness implies that for every $e\ge 0$ there is $A\subset F$ such that $e=\bigvee A$.… Is every norm-dense order dense sublattice super order dense?]]> 1415