SIFAT-FK RUANG BARISAN CESARO ORLICZ

Haryadi - Haryadi

doi:10.20527/epsilon.v18i2.13899

SIFAT-FK RUANG BARISAN CESARO ORLICZ

Haryadi - Haryadi

Abstract

The Cesaro sequence space , ( , which is the FK-space, has been generalized to the Cesaro-Orlicz sequence space . This prompted the study of several properties in that have been known in . In this paper, the properties of completeness and FK-properties in the Cesaro-Orlicz space are discussed. For this discussion, a modular approach is used. The results of the study show that the space is a convex modular space. This sequence space is also complete to the Luxemburg norm and has K-properties. Furthermore, this space is a BK-space. These results can be used to study the Kothe-Toeplitz dual, which is an important part of the transformation of the infinite matrix

Keywords

modular; Cesaro-Orlicz; FK; BK

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DOI: https://doi.org/10.20527/epsilon.v18i2.13899