Skip Navigation


Bulletin of the London Mathematical Society Advance Access originally published online on April 17, 2009
Bulletin of the London Mathematical Society 2009 41(3):524-534; doi:10.1112/blms/bdp031
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
41/3/524    most recent
bdp031v1
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 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 Shargorodsky, E.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

On the definition of pseudospectra

E. Shargorodsky

Department of Mathematics
King's College London
Strand
London
WC2R 2LS
United Kingdom

Received 29 February 2008.

It is well known that the {varepsilon}-pseudospectrum of a bounded linear operator defined with the help of a strict inequality is equal to the union of the spectra of all perturbed operators with perturbations that have norms strictly less than {varepsilon}. The aim of the paper is to show that the same is not true in the case of non-strict inequalities.

2000 Mathematics Subject Classification 47A10.


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.