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Complex Symmetry of a Dense Class of Operators |
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| Authors: | Sen Zhu Chun Guang Li |
| Affiliation: | 1. School of Mathematical Sciences, Fudan University, 220 Handan Road, Shanghai, 200433, People??s Republic of China 2. Department of Mathematics, Jilin University, Changchun, 130012, People??s Republic of China 3. Institute of Mathematics, Jilin University, Changchun, 130012, People??s Republic of China |
| Abstract: | In this paper, we develop new techniques to study complex symmetric operators. We first give an interpolation theorem related to conjugations. This result is used to give a geometric characterization for a norm-dense class of operators to be complex symmetric. Also we characterize certain complex symmetric nilpotent operators, and several illustrating examples are given. |
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