Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616959 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
We show that for a separable infinite dimensional Fréchet space X, GL(X) acts transitively on Σ(X) if and only if X possesses a continuous norm. We also prove that every countably dimensional metrizable locally convex space supports a hypercyclic operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Andre Schenke, Stanislav Shkarin,