Resumen de Invariant subspaces for positive operators on locally convex solid Riesz spaces

M. Çaglar, Z. Ercan

• We prove that an x0-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) 418424] is also given.