Vector valued Orlicz-Lorentz sequence spaces and their operator ideals

In the present paper we introduce and study vector valued Orlicz-Lorentz sequence spaces lp,q,M,u,∆,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.