Geodesic
Vector valued Orlicz-Lorentz sequence spaces and their operator ideals
Mohiuddine, S. A.1 ; Raj, K.2
1 Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
2 School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 338-353.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In the present paper we introduce and study vector valued Orlicz-Lorentz sequence spaces $l_{p,q,M,u,\Delta,A}(X)$ on Banach space $X$ with the help of a Musilak-Orlicz function $M$ and for different positive indices p and q. We also study their cross and topological duals. Finally, we introduce the operator ideals with the help of the corresponding scalar sequence spaces and s-numbers.
DOI : 10.22436/jnsa.010.02.01
Classification : 46A45, 47B06, 47L20
Keywords: Lorentz sequence spaces, s-numbers of operators, Musielak-Orlicz function, difference sequence spaces, operator ideals.

Mohiuddine, S. A. 1 ; Raj, K. 2

1 Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
2 School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India 
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Mohiuddine, S. A.; Raj, K. Vector valued Orlicz-Lorentz sequence spaces and their operator ideals. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 338-353. doi : 10.22436/jnsa.010.02.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.02.01/

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