Isomorphic copies of $l^\infty$ in Cesàro-Orlicz function spaces

preprint2016arXivOpen access

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

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Isomorphic copies of $l^\infty$ in Cesàro-Orlicz function spaces

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Isomorphic copies of l∞l^\inftyl∞ in Cesàro-Orlicz function spaces

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Isomorphic copies of $l^\infty$ in Cesàro-Orlicz function spaces