Sophie Grivaux
Abstract
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Abstract We prove that there exists a rank 1 perturbation of a unitary operator on a complex separable infinite dimensionai Hilbert space which is hypercyclic.
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Abstract We prove that there exists a rank 1 perturbation of a unitary operator on a complex separable infinite dimensionai Hilbert space which is hypercyclic.
Key concepts: Unitary state, Unitary operator, Separable space, Mathematics, Perturbation (astronomy), Hilbert space, Operator (biology), Rank (graph theory)