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arxiv: math/0604199 · v1 · submitted 2006-04-09 · 🧮 math.FA · math.OA

The characteristic function of a complex symmetric contraction

classification 🧮 math.FA math.OA
keywords symmetriccomplexcharacteristiccontractionfunctionapplicationsconjugationcontractions
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It is shown that a contraction on a Hilbert space is complex symmetric if and only if the values of its characteristic function are all symmetric with respect to a fixed conjugation. Applications are given to the description of complex symmetric contractions with defect indices equal to 2.

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