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Weyl Type Theorems for Complex Symmetric Operator Matrices

초록/요약

In this paper, we study Weyl type theorems for complex symmetric operator matrices. In particular, we give a necessary and sufficient condition for complex symmetric operator matrices to satisfy alpha-Weyl's theorem. Moreover, we also provide the conditions for such operator matrices to satisfy generalized alpha-Weyl's theorem and generalized alpha-Browder's theorem, respectively. As some applications, we give various examples of such operator matrices which satisfy Weyl type theorems.

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