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arXiv · 1604.07257

Isomorphic copies of $l^\infty$ in Ces\`aro-Orlicz function spaces

Tomasz Kiwerski·Paweł Kolwicz
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Abstract

We characterize Ces\`aro-Orlicz function spaces $Ces_\varphi$ containing isomorphic copy of $l^\infty$. We also describe the subspaces $(Ces_\varphi)_a$ of all order continuous elements of $Ces_\varphi$. Finally, we study the monotonicity structure of the spaces $Ces_\varphi$ and $(Ces_\varphi)_a$.

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Tomasz Kiwerski, Paweł Kolwicz. 2016-04-25. Isomorphic copies of $l^\infty$ in Ces\`aro-Orlicz function spaces. https://doi.org/10.1007/s11117-016-0449-6

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