Almost-everywhere discontinuity of the spectral radius

Authors
Ransford, TJ
Citation
Tj. Ransford, Almost-everywhere discontinuity of the spectral radius, P AM MATH S, 129(3), 2000, pp. 749-751
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
3
Year of publication
2000
Pages
749 - 751
Database
ISI
SICI code
0002-9939(2000)129:3<749:ADOTSR>2.0.ZU;2-A
Abstract
Let rho (T) denote the spectral radius of an operator T. We construct opera tors S and T on l(2) such that lambda bar right arrow rho (T - lambdaS) is discontinuous almost everywhere on the unit disk.