Some normed binomial difference sequence spaces related to the ℓ p $\ell_{p}$ spaces

Some normed binomial difference sequence spaces related to the ℓ p $\ell_{p}$ spaces

Abstract The aim of this paper is to introduce the normed binomial sequence spaces b p r , s ( ∇ ) $b^{r,s}_{p}(\nabla)$ by combining the binomial transformation and difference operator, where 1 ≤ p ≤ ∞ $1\leq p\leq\infty$ . We prove that these spaces are linearly isomorphic to the spaces ℓ p $\ell_...

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Bibliographic Details
Main Authors: Meimei Song, Jian Meng
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Journal of Inequalities and Applications
Subjects:
sequence space
matrix domain
Schauder basis
α-, β- and γ-duals
Online Access:http://link.springer.com/article/10.1186/s13660-017-1401-4

Internet

http://link.springer.com/article/10.1186/s13660-017-1401-4

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