Skew complex symmetric operators and Weyl type theorems
Bull. Korean Math. Soc. 2015 Vol. 52, No. 4, 1269-1283
https://doi.org/10.4134/BKMS.2015.52.4.1269
Published online July 31, 2015
Eungil Ko, Eunjeong Ko, and Ji Eun Lee
Ewha Womans University, Ewha Womans University, Sejong University
Abstract : An operator $T\in{\mathcal L(\mathcal H)}$ is said to be skew complex symmetric if there exists a conjugation $C$ on ${\mathcal H}$ such that $T= -CT^{\ast}C$. 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.
Keywords : skew complex symmetric operator, subspace-hypercyclicity, Weyl type theorems
MSC numbers : Primary 47A10, 47A53
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