The characteristic function of a complex symmetric contraction

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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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Functional Analysis, Operator Algebras, 47A45; 47B15

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http://salesiana.dossiersoluciones.com/handle/123456789/111498

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604199
 http://arxiv.org/abs/math/0604199

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arXiv