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arXiv · 1008.2878

Typical operators admit common cyclic vectors

Pavel Zorin-Kranich
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Abstract

Given a countable dense subset D of an infinite-dimensional separable Hilbert space H the set of operators for which every vector in D except zero is hypercyclic (weakly supercyclic) is residual for the strong (resp. weak) operator topology in the unit ball of L(H) multiplied by R>1 (resp. R>0)

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Pavel Zorin-Kranich. 2010-08-17. Typical operators admit common cyclic vectors. https://doi.org/10.1090/s0002-9939-2013-11512-1

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