Generalized a-Weyl's Theorem for Operator Matrices
Jun Xiang Xu · Journal of Qingdao University · 2005
Generalized a-Weyl's theorem holds for an operator when the complement in the approximate point spectrum of semiB essential approximate point spectrum coincides with the isolated points of the approximate point spectrum which are eigenvalues. Generalized a-Weyl's theorem is liable to fail for operator matrices. This paper explores how generalized a-Weyl's theorem survivs for operator matrices on the Hilbert space. In addition,some useful and interesting corollaries are derived.