Weyl's and Browder's theorems for operators satisfying the SVEP

• Autorzy: Mourad Oudghiri
• Języki publikacji: EN

Abstrakty

EN

We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or its adjoint has the single-valued extension property. We establish the spectral mapping theorem for the Weyl spectrum, and we show that Browder's theorem holds for f(T) for every f ∈ 𝓗 (σ(T)). Also, we give necessary and sufficient conditions for such T to obey Weyl's theorem. Weyl's theorem in an important class of Banach space operators is also studied.

Kategorie tematyczne

• 47A53: (Semi-) Fredholm operators; index theories
• 47B20: Subnormal operators, hyponormal operators, etc.
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 163
• Numer: 1
• Strony: 85-101

Daty

wydano

2004

Twórcy

autor

Mourad Oudghiri

• UFR de Mathématiques, UMR-CNRS 8524, Université Lille 1, 59655 Villeneuve d'Ascq, France

Identyfikatory

DOI

10.4064/sm163-1-5