Geodesic
On generalized $a$-Browder's theorem
Pietro Aiena1 ; T. Len Miller2
1Dipartimento di Matematica ed Applicazioni Facoltà di Ingegneria Università di Palermo Viale delle Scienze I-90128 Palermo, Italy
2Department of Mathematics and Statistics Mississippi State University Starkville, MS 39762, U.S.A.
Studia Mathematica, Tome 180 (2007) no. 3, pp. 285-300
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $H_0(\lambda I-T)$ as $\lambda$ belongs to certain sets of $\mathbb C$. In the last part we give a general framework in which generalized $a$-Weyl's theorem follows for several classes of operators.
DOI : 10.4064/sm180-3-7
Keywords: characterize bounded linear operators satisfying generalized a browders theorem generalized a weyls theorem means localized svep means quasi nilpotent part lambda i t lambda belongs certain sets nbsp mathbb part general framework which generalized a weyls theorem follows several classes operators

Pietro Aiena  1   ; T. Len Miller  2

1 Dipartimento di Matematica ed Applicazioni Facoltà di Ingegneria Università di Palermo Viale delle Scienze I-90128 Palermo, Italy
2 Department of Mathematics and Statistics Mississippi State University Starkville, MS 39762, U.S.A. 
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Pietro Aiena; T. Len Miller. On generalized $a$-Browder's theorem. Studia Mathematica, Tome 180 (2007) no. 3, pp. 285-300. doi: 10.4064/sm180-3-7

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