Abstract

This paper is concerned with the problem of finding the upper and lower bounds of matrix operators from weighted sequence spaces $l_p(v,I)$ into $l_p(v,F)$. We consider certain matrix operators such as Cesàro, Copson and Hilbert which were recently considered on the usual weighted sequence spaces $l_p(v)$.

Keywords: Matrix operator, norm and lower bound, weighted sequence spaces, Cesàro operator, Copson operator, Hilbert operator.

MSC: 46A45, 40H05

Pages:  47--56     

Volume  59 ,  Issue  1$-$2 ,  2007