Invariant subspaces for positive operators on locally convex solid Riesz spaces |
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| Authors: | M alar Z Ercan |
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| Institution: | aIstanbul Kultur University, Department of Mathematics and Computer Science, Atakoy Campus, Bakirkoy 34156, Istanbul, Turkey;bAbant Izzet Baysal University, Department of Mathematics, Golkoy Campus 14280, Bolu, Turkey |
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| Abstract: | 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. |
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| Keywords: | positive operator semigroup invariant subspace quasinilpotent weak quasinilpotent |
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