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 $k \in N$.
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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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/

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