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- W2103303434 abstract "The structure of the Cesàro function spaces Cesp on both [0,1] and [0, ∞) for 1 < p ≤ ∞ is investigated. We find their dual spaces, which equivalent norms have different description on [0, 1] and [0, ∞).The spaces Cesp for 1 < p < ∞ are not reflexive but strictly convex. They are not isomorphic to any Lq space with 1 ≤ q ≤ ∞. They have “near zero” complemented subspaces isomorphic to lp and “in the middle” contain an asymptotically isometric copy of l1 and also a copy of L1[0, 1]. They do not have Dunford-Pettis property but they do have the weak Banach-Saks property. Cesàro function spaces on [0, 1] and [0, ∞) are isomorphic for 1 < p ≤ ∞. Moreover, we give characterizations in terms of p and q when Cesp[0, 1] contains an isomorphic copy of lq." @default.
- W2103303434 created "2016-06-24" @default.
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- W2103303434 date "2009-09-01" @default.
- W2103303434 modified "2023-10-12" @default.
- W2103303434 title "Structure of Cesàro function spaces" @default.
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- W2103303434 doi "https://doi.org/10.1016/s0019-3577(10)00002-9" @default.
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