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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24 Citations (Scopus)

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.

Original language	English
Pages (from-to)	285-300
Number of pages	16
Journal	Studia Mathematica
Volume	180
Publication status	Published - 2007

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "On generalized a-Browder's theorem",

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.",

author = "Pietro Aiena and {Len Miller} and Pietro Aiena",

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language = "English",

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journal = "Studia Mathematica",

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TY - JOUR

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

SN - 0039-3223

VL - 180

SP - 285

EP - 300

JO - Studia Mathematica

JF - Studia Mathematica

ER -

On generalized a-Browder's theorem

Abstract

All Science Journal Classification (ASJC) codes

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