Uniform Opial properties in generalized Cesà ro sequence spaces

The main purpose of this paper is considering the generalized Cesàro sequence spaces defined by S. Suantai [On some convexity properties of generalized Cesàro sequence spaces, Georgian Math. J. 10(1) (2003) 193-200] by giving some topological properties and finding condition for ces(p) equipped with both the Amemiya norm and the Luxemburg norm to possesses uniform Opial property.