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Skew complex symmetric operators and Weyl type theorems

초록/요약

An operator T Є L(H) is said to be skew complex symmetric if there exists a conjugation C on H such that T = −CT*C. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators. © 2015 Korean Mathematical Society.

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