p. 185 - 200 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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |