The characteristic function of a complex symmetric contraction

Details The characteristic function of a complex symmetric contraction The characteristic function of a complex symmetric contraction

2006-04-09

arxiv.org/abs/math/0604199v1

Mathematics

Functional Analysis

Scientific paper

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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