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

Abstract

We classify the closed ideals of bounded operators acting on the Banach spaces ${\left({⨁}_{n\in \mathbb{N}}{\ell }_2^n\right)}_{c_0}\oplus c_0(\Gamma )$ and ${\left({⨁}_{n\in \mathbb{N}}{\ell }_2^n\right)}_{{\ell }_1}\oplus {\ell }_1(\Gamma )$ for every uncountable cardinal $\Gamma$.

10 pages