On generalized a-Browder's theorem

• Autorzy: Pietro Aiena , T. Len Miller
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A53: (Semi-) Fredholm operators; index theories
• 47A55: Perturbation theory
• 47A11: Local spectral properties
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 3
• Strony: 285-300

Daty

wydano

2007

Twórcy

autor

Pietro Aiena

• Dipartimento di Matematica, ed Applicazioni, Facoltà di Ingegneria, Università di Palermo, Viale delle Scienze, I-90128 Palermo, Italy

autor

T. Len Miller

• Department of Mathematics and Statistics, Mississippi State University, Starkville, MS 39762, U.S.A.

Identyfikatory

DOI

10.4064/sm180-3-7