p. 1 - 8 Some geometric properties of a generalized Cesàro sequence space V. A. Khan Received: August 10, 2005; Accepted: November 2, 2009 Abstract. In this paper we define the generalized Cesàro sequence space Ces p(q) and exhibit some geometrical properties of the space. The results here in proved are exhibit analogous to those by Y. A. Cui [Southeast Asian Bull. Math. 24 (2000), 201-210] for the Cesàro sequence space Ces p. Keywords: Banach-Saks property; ε-separated sequence; property β; Generalized Cesàro Sequence Space. AMS Subject classification: Primary: 46E30, 46E40, 46B20 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 © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |