6533b82bfe1ef96bd128cdb4

RESEARCH PRODUCT

Property (R) under perturbations

Pedro PeñaElvis AponteJesús R. GuillénPietro Aiena

subject

Discrete mathematicsProperty (R)Mathematics::Functional AnalysisPure mathematicsGeneral MathematicsWeyl's theoremSpectrum (functional analysis)Banach spaceMultiplicity (mathematics)Bounded operatorNilpotentSettore MAT/05 - Analisi MatematicaPoint (geometry)Algebraic numberEigenvalues and eigenvectorsMathematics

description

Property (R) holds for a bounded linear operator $${T \in L(X)}$$ , defined on a complex infinite dimensional Banach space X, if the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points λ of the approximate point spectrum for which λI − T is upper semi-Browder. In this paper we consider the permanence of this property under quasi nilpotent, Riesz, or algebraic perturbations commuting with T.

yearjournalcountryeditionlanguage
2012-01-07
http://hdl.handle.net/10447/64088