On topological properties of spaces obtained by the double band matrix

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....

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Bibliographic Details
Main Authors: Zeren Suzan, Bektaş Çiğdem
Format: Article
Language:English
Published: De Gruyter 2017-09-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0095