The characteristic function of a complex symmetric contraction
泛函分析
2007-05-23 v1 算子代数
摘要
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.
引用
@article{arxiv.math/0604199,
title = {The characteristic function of a complex symmetric contraction},
author = {Nicolas Chevrot and Emmanuel Fricain and Dan Timotin},
journal= {arXiv preprint arXiv:math/0604199},
year = {2007}
}