Skip Navigation

Bulletin of the London Mathematical Society 2007 39(6):1029-1038; doi:10.1112/blms/bdm085
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Shkarin, S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2008 London Mathematical Society

A weighted bilateral shift with cyclic square is supercyclic

Stanislav Shkarin

Queen's University Belfast
Department of Pure Mathematics
University Road
Belfast BT7 1NN
United Kingdom

Received 3 December 2006. Revision received 15 June 2007.

It is shown, for a bounded weighted bilateral shift T acting on {ell}p(Z), and for 1≤p≤2, that supercyclicity of T, weak supercyclicity of T, cyclicity of T{oplus} T and cyclicity of T2 are equivalent. A new sufficient condition for cyclicity of a weighted bilateral shift is proved, which implies, in particular, that any compact weighted bilateral shift is cyclic.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.