Invariant subspaces for positive operators on locally convex solid Riesz spaces

Çağlar, MertErcan, Zafer2021-06-232021-06-2320070019-3577https://doi.org/10.1016/S0019-3577(07)80030-9https://hdl.handle.net/20.500.12491/6021We 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.eninfo:eu-repo/semantics/closedAccesspositive operatorsemigroupinvariant subspacequasinilpotentweak quasinilpotentInvariant subspaces for positive operators on locally convex solid Riesz spacesArticle10.1016/S0019-3577(07)80030-91834174202-s2.0-38149040060Q2WOS:000252195500005Q4