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Triangularizing semigroups of positive operators on an atomic normed Riesz Space

Triangularizing semigroups of positive operators on an atomic normed Riesz Space

Abstract In the first part of the paper we prove several results on the existence of invariant closed ideals for semigroups of bounded operators on a normed Riesz space (of dimension greater than 1) possessing an atom. For instance, if S is a multiplicative semigroup of positive operators on such …