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.

Aiena Pietro, Guillen Jesus, Pena Pedro (2013). A unifying approach to Weyl type theorems for Banach space operators. INTEGRAL EQUATIONS AND OPERATOR THEORY, 77(77), 371-384 [10.1007/s00020-013-2097-6].

A unifying approach to Weyl type theorems for Banach space operators

AIENA, Pietro;
2013-01-01

Abstract

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.
2013
Settore MAT/05 - Analisi Matematica
Aiena Pietro, Guillen Jesus, Pena Pedro (2013). A unifying approach to Weyl type theorems for Banach space operators. INTEGRAL EQUATIONS AND OPERATOR THEORY, 77(77), 371-384 [10.1007/s00020-013-2097-6].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/94143
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