Typical operators admit common cyclic vectors
Abstract
Given a countable dense subset D of an infinitedimensional 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)
 Publication:

arXiv eprints
 Pub Date:
 August 2010
 DOI:
 10.48550/arXiv.1008.2878
 arXiv:
 arXiv:1008.2878
 Bibcode:
 2010arXiv1008.2878Z
 Keywords:

 Mathematics  Functional Analysis;
 47A16
 EPrint:
 7 pages, incorporating the referee's suggestions