Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615920 | Journal of Mathematical Analysis and Applications | 2014 | 8 Pages |
Abstract
In this paper, we give a sufficient condition for the existence of a common universal subspace for various countable families of universal sequences of linear operators. Besides, we show that if σp(T⁎)=∅σp(T⁎)=∅, the unitary orbit of the supercyclic operator T contains a path of operators whose closure contains the entire unitary orbit with the strong operator topology, and yet every nonzero vector in the linear span of the orbit of a given supercyclic vector is a common supercyclic vector for the entire path.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Liang Zhang, Ze-Hua Zhou,