On some topological properties of generalized difference sequence spaces

We obtain some topological results of the sequence spaces Δm(X), where Δm(X)={x=(xk):(Δmxk)∈X},   (m∈ℕ), and X is any sequence space. We compute the pα-, pβ-, and pγ-duals of l∞,c, and c0 and we investigate the N-(or null) dual of the sequence spaces Δm(l∞),   Δm(c), and Δm(c0). Also we show that an...

Full description

Bibliographic Details
Main Author: Mikail Et
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200002325