Geodesic
Weyl type theorem for operator matrices
Xiaohong Cao1
1College of Mathematics and Information Science Shaanxi Normal University Xi'an, 710062, People's Republic of China
Studia Mathematica, Tome 186 (2008) no. 1, pp. 29-39
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $2\times 2$ operator matrices. In this paper, we explore how they survive for $2\times 2$ operator matrices on a Hilbert space.
DOI : 10.4064/sm186-1-4
Keywords: using topological uniform descent necessary sufficient conditions browders theorem weyls theorem operator theorems liable fail times operator matrices paper explore survive times operator matrices hilbert space

Xiaohong Cao  1

1 College of Mathematics and Information Science Shaanxi Normal University Xi'an, 710062, People's Republic of China 
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Xiaohong Cao. Weyl type theorem for operator matrices. Studia Mathematica, Tome 186 (2008) no. 1, pp. 29-39. doi: 10.4064/sm186-1-4

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