On Compact Operators on Some Sequence Spaces Related to Matrix B(r,s,t)

Serkan Demiriz, Emrah Evren Kara

Abstract

In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c₀(B),ℓ_{∞}(B) and ℓ_{p}(B) which have recently been introduced in [Some new sequence spaces derived by the domain of the triple band matrix, Comput. Math. Appl. 62(2011) 641-650]. Further, by using the Hausdorff measure of noncompactness, we characterize some classes of compact operators on these spaces.