Geodesic
Geometry of Ces\`aro Function Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 1, pp. 79-83

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Geometric properties of Cesàro function spaces $\operatorname{Ces}_{p}(I)$, where $I=[0,\infty)$ or $I=[0,1]$, are investigated. In both cases, a description of their dual spaces for $1$ is given. We find the type and the cotype of Cesàro spaces and present a complete characterization of the spaces $l^q$ that have isomorphic copies in $\operatorname{Ces}_{p}[0,1]$ ($1\le p\infty$).
Keywords: Cesàro space, Köthe dual space, dual space, $q$-concave Banach space, type and cotype of a Banach space, Dunford–Pettis property. 
@article{FAA_2011_45_1_a6,
     author = {S. V. Astashkin and L. Maligranda},
     title = {Geometry of {Ces\`aro} {Function} {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {79--83},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2011_45_1_a6/}
}
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S. V. Astashkin; L. Maligranda. Geometry of Ces\`aro Function Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 1, pp. 79-83. http://geodesic.mathdoc.fr/item/FAA_2011_45_1_a6/