Typical operators admit common cyclic vectors
Functional Analysis
2014-09-25 v2
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)
Cite
@article{arxiv.1008.2878,
title = {Typical operators admit common cyclic vectors},
author = {Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1008.2878},
year = {2014}
}
Comments
7 pages, incorporating the referee's suggestions