Title of article
Means of unitaries, conjugations, and the Friedrichs operator ✩
Author/Authors
Stephan Ramon Garcia، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
7
From page
941
To page
947
Abstract
If C is a conjugation (an isometric, conjugate-linear involution) on a separable complex Hilbert space H,
then T ∈ B(H) is called C-symmetric if T = CT ∗C. In this note we prove that each C-symmetric contraction
T is the mean of two C-symmetric unitary operators. We discuss several corollaries and an application
to the Friedrichs operator of a planar domain.
© 2007 Elsevier Inc. All rights reserved
Keywords
Complex symmetric matrix , conjugation , Unilateral shift , Unitary operator , Bergman space , Bergman kernel , Friedrichs operator , Quadraturedomain , Extreme point , Complex symmetric operator , Hankel matrix , Toeplitz matrix
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936227
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