On some new seminormed sequence spaces defined by modulus functions
ALTIN, Yavuz ; I\C{S}IK, Mahmut
Hokkaido Math. J., Tome 35 (2006) no. 1, p. 565-572 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper we introduce the sequence spaces $\ell _{\infty }(f,p,\sigma ,q,s),c_{0}(f,p,\sigma ,q,s)$ and $c(f,p,\sigma ,q,s)$ using a modulus function $f$ and defined over a seminormed space$(X,q)$, seminormed by $q$. We study some properties of these sequence spaces and obtain some inclusion relations.
Publié le : 2006-08-15
Classification:  modulus function,  invariant mean,  seminorm,  40C05,  40D05,  40A05 
@article{1285766416,
     author = {ALTIN, Yavuz and I\C{S}IK, Mahmut},
     title = {On some new seminormed sequence spaces defined by modulus functions},
     journal = {Hokkaido Math. J.},
     volume = {35},
     number = {1},
     year = {2006},
     pages = { 565-572},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285766416}
}

ALTIN, Yavuz; I\C{S}IK, Mahmut. On some new seminormed sequence spaces defined by modulus functions. Hokkaido Math. J., Tome 35 (2006) no. 1, pp.  565-572. http://gdmltest.u-ga.fr/item/1285766416/