MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Norm and lower bounds of operators on weighted sequence spaces
R. Lashkaripour, D. Foroutannia

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 $l_p(v)$.

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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