On modular seguence spaces of non-absolute type

Rok, strany: 2000, 105 - 115

We define the modular sequence space $X{f_n}$etermined by the modular $ρ(x)=∑_n=1^∞ f_n(|frac1 n∑ olimits_j=1ⁿξ_j |)$, where $x={ξ_j}_j=1^∞$ and ${f_n}_n=1^∞$ is a sequence of Orlicz functions. This generalizes the Cesàro sequence spaces of non-absolute type and modular spaces considered by J. Y. T. Woo in [J. Y. T. Woo: On modular sequence spaces, Studia Math. 48 (1973), 271–289]. $X{f_n}$ is a Banach space; furthermore it is a dense $F_σ$ of the first category subset of the Frèchet space $s$.

ISO 690:

Ewert, J. 2000. On modular seguence spaces of non-absolute type. In Tatra Mountains Mathematical Publications, vol. 19, no.1, pp. 105-115. 1210-3195.

APA:

Ewert, J. (2000). On modular seguence spaces of non-absolute type. Tatra Mountains Mathematical Publications, 19(1), 105-115. 1210-3195.