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Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces (2008.12211v1)

Published 27 Aug 2020 in math.FA

Abstract: We classify the closed ideals of bounded operators acting on the Banach spaces $\left(\bigoplus_{n \in \mathbb{N}} \ell_2n\right)_{c_0} \oplus c_0(\Gamma)$ and $\left(\bigoplus_{n \in \mathbb{N}} \ell_2n\right)_{\ell_1} \oplus \ell_1(\Gamma)$ for every uncountable cardinal $\Gamma$.

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