Property (ω) for operator matrices
Tian Junhong, Xiaohong Cao, Chenhui Sun · Wuhan University Journal of Natural Sciences · 2013
In this note, property (ω) and property (ω 1)are variants of Weyl’s theorem. By means of topological uniform descent, the sufficient and necessary conditions of a bounded linear operator defined on a Hilbert space that satisfies property (ω 1) and property (ω 1)is studied. Moreover, property 1 (ω 1)and property (ω 1)of 2 × 2 operator matrices are discussed as well.