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RESEARCH PRODUCT

A Unifying Approach to Weyl Type Theorems for Banach Space Operators

Pietro AienaJesús R. GuillénPedro Peña

subject

Discrete mathematicsClass (set theory)Algebra and Number TheorySpectrum (functional analysis)Banach spaceType (model theory)Domain (mathematical analysis)Weyl type theoremsSettore MAT/05 - Analisi MatematicaAlgebraic numberConstant (mathematics)AnalysisMathematicsAnalytic function

description

Weyl type theorems have been proved for a considerably large number of classes of operators. In this paper, by introducing the class of quasi totally hereditarily normaloid operators, we obtain a theoretical and general framework from which Weyl type theorems may be promptly established for many of these classes of operators. This framework also entails Weyl type theorems for perturbations f(T + K), where K is algebraic and commutes with T, and f is an analytic function, defined on an open neighborhood of the spectrum of T + K, such that f is non constant on each of the components of its domain.

yearjournalcountryeditionlanguage
2013-09-26Integral Equations and Operator Theory
https://doi.org/10.1007/s00020-013-2097-6