We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators.

AIENA P, LT MILLER (2007). On generalized a-Browder's theorem. STUDIA MATHEMATICA, 180(3), 285-300 [10.4064/sm180-3-7].

On generalized a-Browder's theorem

AIENA, Pietro;
2007-01-01

Abstract

We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators.
2007
Settore MAT/05 - Analisi Matematica
AIENA P, LT MILLER (2007). On generalized a-Browder's theorem. STUDIA MATHEMATICA, 180(3), 285-300 [10.4064/sm180-3-7].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/10721
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