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arXiv · 2109.05239

Quotients, $\ell_\infty$ and abstract Ces\`aro spaces

Tomasz Kiwerski·Paweł Kolwicz·Jakub Tomaszewski
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Abstract

Investigating some re-arrangement properties of the norm in the quotient spaces $X/X_a$ we determine the properties of the spaces $X$ guaranteeing the existence of a lattice isometric copy of $\ell_\infty$ in the abstract Ces\`aro spaces $CX$.

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Tomasz Kiwerski, Paweł Kolwicz, Jakub Tomaszewski. 2021-09-11. Quotients, $\ell_\infty$ and abstract Ces\`aro spaces. https://doi.org/10.1007/s13398-022-01245-1

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