On hyperinvariant subspaces of contraction operators on a Banach space whose spectrum contains the unit circle |
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Authors: | Ming Xue Liu |
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Affiliation: | (1) Department of Mathematics, Guangdong Polytechnic Normal University, Guangzhou, 510665, P. R. China |
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Abstract: | In this paper, we prove that every operator in a class of contraction operators on a Banach space whose spectrum contains the unit circle has a nontrivial hyperinvariant subspace. This research is supported by the Natural Science Foundation of P. R. China (No. 10771039) |
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Keywords: | Banach space contraction operator invariant subspace |
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