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Invariant Subspaces for Positive Operators Acting on a Banach Space with Markushevich Basis
Authors:Ercan  Z  Onal  S
Institution:(1) Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey;(2) Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Abstract:We introduce lsquoweak quasinilpotencersquo for operators. Then, by substituting lsquoMarkushevich basisrsquo and lsquoweak quasinilpotence at a nonzero vectorrsquo for lsquoSchauder basisrsquo and lsquoquasinilpotence at a nonzero vectorrsquo, respectively, we answer a question on the invariant subspaces of positive operators in 3].
Keywords:Markushevich basis  positive operators  invariant subspace
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