Geodesic
On the $H$-property of some Banach sequence spaces
Archivum mathematicum, Tome 39 (2003) no. 4, pp. 309-316

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In this paper we define a generalized Cesàro sequence space $\operatorname{ces\,}(p)$ and consider it equipped with the Luxemburg norm under which it is a Banach space, and we show that the space $\operatorname{ces\,}(p)$ posses property (H) and property (G), and it is rotund, where $p = (p_k)$ is a bounded sequence of positive real numbers with $p_k > 1$ for all $k \in N$.
Classification : 46B20, 46B45
Keywords: H-property; property (G); Cesàro sequence spaces; Luxemburg norm 
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     author = {Suantai, Suthep},
     title = {On the $H$-property of some {Banach} sequence spaces},
     journal = {Archivum mathematicum},
     pages = {309--316},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {2003},
     mrnumber = {2032104},
     zbl = {1115.46012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a6/}
}
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Suantai, Suthep. On the $H$-property of some Banach sequence spaces. Archivum mathematicum, Tome 39 (2003) no. 4, pp. 309-316. http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a6/