Some Geometric properties in Orlicz- Cesaro Spaces

ABSTRACT: On the Orlicz- Cesaro sequence spaces ( ) which are defined by using Orlicz function , we show that the space equipped with both Amemiya and Luxemburg norms possesses uniform Opial property and uniform Kadec-Klee property if satisfy the -condition.

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Department of Mathematics, Chiang Mai University, Chiang Mal. 50200, Thailand.

* Corresponding author, E-mail: scmtiO05@chiangmai.ac.th

Received 12 Nov 2004, Accepted 28 Jun 2005