Invariant subspaces for positive operators on locally convex solid Riesz spaces

Zafer, ErcanÇağlar, Mert2016-04-202016-04-202007-09-240019-3577http://hdl.handle.net/11413/1011We 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.en-USpositive operatorsemigroupinvariant subspacequasinilpotentweak quasinilpotentpozitif operatöryarıgrupdeğişmeyen alt uzayyarınilpotentzayıf yarınilpotentInvariant subspaces for positive operators on locally convex solid Riesz spacesArticle2521955000052521955000052-s2.0-381490400602-s2.0-38149040060