International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 41-44, Pages 2273-2278
doi:10.1155/S0161171204310124
Operators commuting with the shift on sequence spaces
J. Prada
Departamento de Matemáticas, Universidad de Salamanca, Salamanca 37008, Spain
Abstract
A complete characterization of shift-invariant operators that are isomorphisms is given in certain sequence spaces. Also given is a sufficient condition for an operator commuting with a shift-invariant operator to be shift invariant.