Norm and lower bounds of operators on weighted sequence spaces

Authors

  • R. Lashkaripour Dept. of Math., Sistan and Baluchestan University, Zahedan, Iran Author
  • D. Foroutannia Dept. of Math., Sistan and Baluchestan University, Zahedan, Iran Author

Keywords:

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

Subjects:

46A45, 40H05

Abstract

This paper is concerned with the problem of finding theupper 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 asCesàro, Copson and Hilbert which were recently considered on the usual weighted sequence spaces $l_p(v)$.

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Published

2007-04-15