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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Hlavní autoři:	Abdullah Alotaibi, Mohammad Mursaleen, Syed Abdul Mohiuddine
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	SpringerOpen 2016-08-01
Edice:	Journal of Inequalities and Applications
Témata:	BK space matrix transformation Hausdorff measure of noncompactness compact operator geometric properties
On-line přístup:	http://link.springer.com/article/10.1186/s13660-016-1129-6
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