$C$--normal operators

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Published: Feb 27, 2020
DOI: https://doi.org/10.13001/ela.2020.5045
Keywords:
$C$--symmetric operators $C$--skew--symmetric operators Toeplitz operators conjugate normal matrices composition operators truncated Toeplitz operators

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Marek Ptak
Department of Applied Mathematics, University of Agriculture, Krakow, Poland
Katarzyna Simik
Pedagogical University, Krakow, Poland
Anna Wicher
Pedagogical University, Krakow, Poland

Abstract

A new class of operators, larger than C - symmetric operators and different than normal one named C - normal operatorsis introduced. Basic properties are given. Characterizations of this operators in finite dimensional spaces using relations with conjugate normal metrices are presented. Characterizations of Toeplitz operators and composition operators as C - normal operators are given. Bunches of examples are presented.

Article Details

Issue
Vol. 36 (2020)
Section
Article