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