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A generalization of Orlicz sequence spaces
by Cesàro mean of order one
H. Dutta and F. Başar
Received: March 29, 2010; Revised: December 9, 2010; Accepted: April 6, 2011
Abstract. In this paper, we introduce the Orlicz sequence spaces generated by Cesàro mean of order one associated with a fixed multiplier sequence of non-zero scalars. Furthermore, we emphasize several algebraic and topological properties relevant to these spaces. Finally, we determine the Köthe-Toeplitz dual of the spaces $\ell'$M(C,Λ) and hM(C,Λ).
Keywords: Orlicz function, Cesàro mean of order one, sequence spaces, topological isomorphism, AK space, BK space.
AMS Subject classification: Primary: 46A45 Secondary: 40C05, 40A05
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