On vector valued sequence spaces hN(Ek), M(B(Ek,Y)) and M(E k )

In this paper, new classes hN(Ek), M(B(Ek,Y)) and M(E k ) of vector valued sequences using Örlicz function M are introduced as generalization of known Örlicz sequence spaces hN and M, respectively, and Köthe–Töeplitz dual, continuous dual, operator representation and weak convergence for these spaces studied. With different choice of Ek and M, it is observed that these spaces include many known earlier spaces as special case. © 2006 Elsevier Inc. All rights reserved.