The characteristic function of a complex symmetric contraction
Nicolas Chevrot, Emmanuel Fricain, Dan Timotin
Abstract
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.
Create a lesson
Related papers
Revisiting the Upper Bild of Quaternionic Numerical Ranges
Jie Tian, Tin-Yau Tam
Pseudo-Fredholm operators form a regularity on Hilbert spaces
Zakariae Aznay, Fadil Chabbabi, Hassan Zariouh
A Hardy space approximation supporting zero-free half-planes for the ζ-function
Juan Manzur, Gustavo Quintero
Small Hankel operators on weighted Besov spaces
Chen Li, Kai Wang
Spectra of Beurling algebras of abelian groups
Nico Spronk, Zhihao Zhang
Frame Properties of Effective Stationary Sequences
Chad Berner, John E. Herr, Palle E. T. Jorgensen