Generalized Weyl's theorem and quasi-affinity

• Autorzy: Pietro Aiena , Mohammed Berkani
• Języki publikacji: EN

Abstrakty

EN

A bounded operator T ∈ L(X) acting on a Banach space X is said to satisfy generalized Weyl's theorem if the complement in the spectrum of the B-Weyl spectrum is the set of all eigenvalues which are isolated points of the spectrum. We prove that generalized Weyl's theorem holds for several classes of operators, extending previous results of Istrăţescu and Curto-Han. We also consider the preservation of generalized Weyl's theorem between two operators T ∈ L(X), S ∈ L(Y) intertwined or asymptotically intertwined by a quasi-affinity A ∈ L(X,Y).

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 198
• Numer: 2
• Strony: 105-120

Daty

wydano

2010

Twórcy

autor

Pietro Aiena

• Dipartimento di Metodi e Modelli Matematici, Facoltà di Ingegneria, Università di Palermo, Viale delle Scienze, I-90128 Palermo, Italy

autor

Mohammed Berkani

• Département de Mathématiques, Faculté des Sciences, Université Mohammed I, Oujda, Morocco

Identyfikatory

DOI

10.4064/sm198-2-1