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RESEARCH PRODUCT
Property (w) and perturbations II
Pietro Aienasubject
Weyl's theoremsLocalized SVEP Weyl's theorems Browder's theorems Property (w)Property (w)Applied MathematicsLocalized SVEPBrowder's theoremsAnalysisdescription
AbstractThis note is a continuation of a previous article [P. Aiena, M.T. Biondi, Property (w) and perturbations, J. Math. Anal. Appl. 336 (2007) 683–692] concerning the stability of property (w), a variant of Weyl's theorem, for a bounded operator T acting on a Banach space, under finite-dimensional perturbations K commuting with T. A counterexample shows that property (w) in general is not preserved under finite-dimensional perturbations commuting with T, also under the assumption that T is a-isoloid.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-06-01 |