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 $k \in N$.
@article{107879,
author = {Suthep Suantai},
title = {On the $H$-property of some Banach sequence spaces},
journal = {Archivum Mathematicum},
volume = {039},
year = {2003},
pages = {309-316},
zbl = {1115.46012},
mrnumber = {2032104},
language = {en},
url = {http://dml.mathdoc.fr/item/107879}
}
Suantai, Suthep. On the $H$-property of some Banach sequence spaces. Archivum Mathematicum, Tome 039 (2003) pp. 309-316. http://gdmltest.u-ga.fr/item/107879/
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