Weyl type theorem for operator matrices

• Autorzy: Xiaohong Cao
• Języki publikacji: EN

Abstrakty

EN

Using topological uniform descent, we give necessary and sufficient conditions for Browder's theorem and Weyl's theorem to hold for an operator A. The two theorems are liable to fail for 2 × 2 operator matrices. In this paper, we explore how they survive for 2 × 2 operator matrices on a Hilbert space.

Kategorie tematyczne

• 47A53: (Semi-) Fredholm operators; index theories
• 47A55: Perturbation theory
• 47A15: Invariant subspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 186
• Numer: 1
• Strony: 29-39

Daty

wydano

2008

Twórcy

autor

Xiaohong Cao

• College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, People's Republic of China

Identyfikatory

DOI

10.4064/sm186-1-4