On generalized a-Browder's theorem

Pietro Aiena; null Len Miller; Pietro Aiena

On generalized a-Browder's theorem

Pietro Aiena, Len Miller, Pietro Aiena

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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.

Lingua originale	English
pagine (da-a)	285-300
Numero di pagine	16
Rivista	Studia Mathematica
Volume	180
Stato di pubblicazione	Published - 2007

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All Science Journal Classification (ASJC) codes

Mathematics(all)

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Aiena, P., Len Miller, & Aiena, P. (2007). On generalized a-Browder's theorem. Studia Mathematica, 180, 285-300.

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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.",

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T1 - On generalized a-Browder's theorem

AU - Aiena, Pietro

AU - Len Miller, null

AU - Aiena, Pietro

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/10721

M3 - Article

VL - 180

SP - 285

EP - 300

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

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