On compact operators on the Riesz Bm-difference sequence space

Abstract

The compact operators on the Riesz sequence space ݎ ௣ ௤ ሺܤ ௠ ሻ ሺ1 ൑ ݌ ൏ ∞ሻ have been studied by Basarir and Kara, IJST (2011) A4, 279-285. In the present paper, we will characterize some classes of compact operators on the normed Riesz sequence spaces ݎ ଴ ௤ ሺܤ ௠ ሻ and ݎ ஶ ௤ ሺܤ ௠ ሻ by using the Hausdorff measure of noncompactness.