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Results tagged with banach-lattices
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user 12248
A Banach lattice is a complete normed vector lattice such that the ordering and norm are compatible.
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$\ell^\infty / ces_0$ as an ordered Banach space
Let
$ces_0:=\{\xi\in\ell^\infty : \lim_{n\to \infty}\frac{1}{n}\sum_{k=1}^{n}\xi_k=0\}$ and $q:\ell^\infty \to \ell^\infty/ces_0$ be the usual quotient map. The space $ces_0$ is closed in $\ell^\inft …
