International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 31, Pages 1961-1971
doi:10.1155/S0161171203209261
Invariant subspaces for polynomially compact almost superdiagonal operators on l(pi)
Department of Mathematics, Morgan State University, 1700 East Cold Spring Lane, Baltimore 21239, MD, USA
Received 6 August 2002
Copyright © 2003 Arthur D. Grainger. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
It is shown that almost superdiagonal, polynomially compact operators on the sequence space l(pi) have nontrivial, closed invariant subspaces if the nonlocally convex linear topology τ(pi) is locally bounded.