چكيده به لاتين
abstract
The sequence spaces l1(~B
; p) , C(~B
; p) , C0(~B
; p) of non-absolute type derived by the double sequential band matrix B(~r; ~s) have recently been defined. In this study we discussed identities or estimates for the operator norms and the Hausdorff measure of noncompactnees of certain matrix on these spaces that are paranormed space. further, we study the necessary and sufficient condition
for compactness of LA where LA is a bounded linear operator in the class (X, l1(q)) (where
X is any of the spaces l1(~B
; p) , C(~B
; p) , C0(~B
; p) ) and characterize some classes of compact operators on the space by using the Hausdorff measure of the noncompactness technique.
Also as applications we characterize some classes of compact operators between these new sequence spaces and some other BK- space by using previous results and the Hausdorff measure of noncompactness.
