Abstract
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.
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