Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

Abstract In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p $\ell_{p}$ spaces. By applying the Hausdo...

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Bibliographic Details
Main Authors: Abdullah Alotaibi, Mohammad Mursaleen, Syed Abdul Mohiuddine
Format: Article
Language:English
Published: SpringerOpen 2016-08-01
Series:Journal of Inequalities and Applications
Subjects:
BK space
matrix transformation
Hausdorff measure of noncompactness
compact operator
geometric properties
Online Access:http://link.springer.com/article/10.1186/s13660-016-1129-6

Internet

http://link.springer.com/article/10.1186/s13660-016-1129-6

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