Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties. Also, we define the alpha−, beta− and gamma− duals of the space ℓp(Ť). Finally, we give some matrix mappings.
@article{bwmeta1.element.doi-10_1515_math-2017-0095,
author = {Suzan Zeren and \c Ci\u gdem Bekta\c s},
title = {On topological properties of spaces obtained by the double band matrix},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1148-1155},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0095}
}
Suzan Zeren; Çiğdem Bektaş. On topological properties of spaces obtained by the double band matrix. Open Mathematics, Tome 15 (2017) pp. 1148-1155. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0095/