We study the extent to which the pseudospectra of a matrix determine other aspects of its behaviour, such as the growth of its powers and its unitary equivalence class.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-19, author = {Thomas Ransford}, title = {Pseudospectra and matrix behaviour}, journal = {Banach Center Publications}, volume = {89}, year = {2010}, pages = {327-338}, zbl = {1208.15007}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-19} }
Thomas Ransford. Pseudospectra and matrix behaviour. Banach Center Publications, Tome 89 (2010) pp. 327-338. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-19/