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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This work was supported by NNSF of China (11101177, 11026038, 10971079), China Postdoctoral Science Foundation (2011M500064) and the Basic Research Foundation of Jilin University (201001001, 201103194).
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Zhu, S., Li, C.G. Complex Symmetry of a Dense Class of Operators. Integr. Equ. Oper. Theory 73, 255–272 (2012). https://doi.org/10.1007/s00020-012-1957-9
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DOI: https://doi.org/10.1007/s00020-012-1957-9