Matrix transformations and compact operators on the binomial sequence spaces
Citation
Bişgin, M.C. (2019). Matrix transformations and compact operators on the binomial sequence spaces. Korean Journal of Mathematics, 27(4), 949-968. https://doi.org/10.11568/kjm.2019.27.4.949Abstract
In this work, we characterize some matrix classes concerning the Binomial sequence spaces b(infinity)(r,s) and b(p)(r;s), where 1 <= p < infinity. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from b(0)(r,s) , b(c)(r,s) and b(infinity)(r,s) into c(0), c and l(infinity), respectively.