Subspace–hypercyclic weighted shifts
Our aim in this paper is to obtain necessary and sufficient conditions for bilateral and unilateral weighted shift operators to be subspace-transitive. We show that the Herrero question [6] holds true even on a subspace of a Hilbert space, i.e. there exists an operator T such that both T and T∗ are...
| Main Authors: | , |
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| Format: | Article |
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Element D.O.O.admin@ele-math.com
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/74007/ |
| Summary: | Our aim in this paper is to obtain necessary and sufficient conditions for bilateral and unilateral weighted shift operators to be subspace-transitive. We show that the Herrero question [6] holds true even on a subspace of a Hilbert space, i.e. there exists an operator T such that both T and T∗ are subspace-hypercyclic operators for some subspaces. We display the conditions on the direct sum of two invertible bilateral forward weighted shift operators to be subspace-hypercyclic. |
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