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Abstract
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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)

Arthur D. Grainger

Department of Mathematics, Morgan State University, 1700 East Cold Spring Lane, Baltimore 21239, MD, USA

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.