Vol. 10 (2004)
Articles

Characterization of Matrix Operators on \(l^p\) -spaces

Ya Qiang Yan
Department of Mathematics Suzhou University Suzhou, Jiangsu, 215006, P. R. China

Published 24-01-2025

Keywords

  • Matrix operator,
  • Linear operator,
  • \(l^p\)- space

Abstract

A necessary and sufficient condition for a class of matrix operators acting from \(l^p1\) into \( l^p2\) to be continuous and compact is given in this paper, which answers I. J. Maddox's open problem.