$C$--normal operators

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Marek Ptak
Katarzyna Simik
Anna Wicher


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.

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