Typical operators admit common cyclic vectors

Details Typical operators admit common cyclic vectors Typical operators admit common cyclic vectors

2010-08-17

arxiv.org/abs/1008.2878v2

Mathematics

Functional Analysis

7 pages, incorporating the referee's suggestions

Scientific paper

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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