Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615212 | Journal of Mathematical Analysis and Applications | 2015 | 19 Pages |
Abstract
We discuss some necessary and some sufficient conditions for an elementary operator x↦∑i=1naixbi on a Banach algebra A to be spectrally bounded. In the case of length three, we obtain a complete characterisation when A acts irreducibly on a Banach space of dimension greater than three.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nadia Boudi, Martin Mathieu,