Invariant subspaces for positive operators on locally convex solid Riesz spaces


Caglar M., Ercan Z.

INDAGATIONES MATHEMATICAE-NEW SERIES, vol.18, no.3, pp.417-420, 2007 (SCI-Expanded) identifier identifier identifier

Abstract

We prove that an x(0)-quasinilpotent semigroup S of continuous positive linear operators on a locally convex solid Riesz space X has a common invariant subspace. Using this, a result which implies the main theorem of Abramovich, Aliprantis and Burkinshaw [J. Funct. Anal. 115 (1993) 418-424] is also given.