Vector valued Orlicz-Lorentz sequence spaces and their operator ideals


Authors

S. A. Mohiuddine - Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. K. Raj - School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India.


Abstract

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.


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ISRP Style

S. A. Mohiuddine, K. Raj, Vector valued Orlicz-Lorentz sequence spaces and their operator ideals, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 338--353

AMA Style

Mohiuddine S. A., Raj K., Vector valued Orlicz-Lorentz sequence spaces and their operator ideals. J. Nonlinear Sci. Appl. (2017); 10(2):338--353

Chicago/Turabian Style

Mohiuddine, S. A., Raj, K.. "Vector valued Orlicz-Lorentz sequence spaces and their operator ideals." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 338--353


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