p. 29 - 38 Duals of Vector valued function spaces c0(X, U, M), c(X, U, M) and l\infty(X, U, M) defined by Orlicz function Y. Yadav and J. K. Srivastava Received: November 30, 2012; Accepted: November 14, 2013 Abstract. In this paper we obtain the Köthe-Toeplitz duals of c0(X, U, M), c(X, U, M) and l\infty(X, U, M). We extend the definition of Maddox and study of function spaces and sequence spaces defined by Orlicz function also. Further we characterize the continuous dual of c0(X, U, M) and c(X, U, M). Keywords: Orlicz function; function space; Köthe-Toeplitz duals; continuous duals. AMS Subject classification: Primary: 46A45 Secondary: 46B15 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 © 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |