Matrix mappings on the domains of invertible matrices

We focus on sequence spaces which are matrix domains of banach sequence spaces. we show that the characterization of a random matrix operator t=(t nk)ε(ea,fb),where ea and fb are matrix domains with invertible matrices a and b,can be reduced to the characterization of the operator s=b°t°a-1ε(e,f). as an application,the necessary and sufficient conditions for the matrix operators between invertible matrix domains of the classical sequence spaces and norms of these operators are given. © 2013 muhammed altun.