Some sequence spaces which include $c_0$ and $c$
RHOADES, B.E.
Hokkaido Math. J., Tome 35 (2006) no. 1, p. 587-599 / Harvested from Project Euclid
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It is first shown that a certain class of regular factorable matrices is equivalent to $C$, the Ces\'{a}ro matrix of order one. As a corollary it is shown that the matrix $A$ of [1] is equivalent to $C$. Then most of the results of [1] and [3] are extended to regular factorable matrices.
Publié le : 2006-08-15
Classification:  $\alpha$ dual,  $\beta$ dual,  Ces\'{a}ro summability,  $\gamma$ dual,  factorable matrices,  $\ell_p$ spaces, weighted mean matrices,  46A35,  46A45,  46B45 
@article{1285766418,
     author = {RHOADES, B.E.},
     title = {Some sequence spaces which include $c\_0$ and $c$},
     journal = {Hokkaido Math. J.},
     volume = {35},
     number = {1},
     year = {2006},
     pages = { 587-599},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285766418}
}

RHOADES, B.E. Some sequence spaces which include $c_0$ and $c$. Hokkaido Math. J., Tome 35 (2006) no. 1, pp.  587-599. http://gdmltest.u-ga.fr/item/1285766418/