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Quasi-posinormal operators

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In this paper, we introduce a class of operators on a Hilbert space namely quasi-posinormal operators that contain properly the classes of normal operator, hyponormal operators, M–hyponormal operators, dominant operators and posinormal operators . We study some basic properties of these operators .Also we are looking at the relationship between invertibility operator and quasi-posinormal operator .
College of Science for Women, University of Baghdad
Title: Quasi-posinormal operators
Description:
In this paper, we introduce a class of operators on a Hilbert space namely quasi-posinormal operators that contain properly the classes of normal operator, hyponormal operators, M–hyponormal operators, dominant operators and posinormal operators .
We study some basic properties of these operators .
Also we are looking at the relationship between invertibility operator and quasi-posinormal operator .

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