Weyl Type Theorems for Complex Symmetric Operator Matrices

Il Ju An, Eungil Ko, Ji Eun Lee



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 $a$-Weyl's theorem.

Moreover, we also

provide the conditions for such operator matrices to satisfy generalized $a$-Weyl's theorem and generalized $a$-Browder's theorem, respectively. As some applications, we give various examples of such operator matrices which satisfy Weyl type theorems.

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