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ON THE CLASSES OF (n, m)-POWER D-NORMAL AND (n, m)-POWER D-QUASI-NORMAL OPERATORS
Journal article

ON THE CLASSES OF (n, m)-POWER D-NORMAL AND (n, m)-POWER D-QUASI-NORMAL OPERATORS

Sid Ahmed Ould Ahmed Mahmoud and Ould Beinane Sid Ahmed
OPERATORS AND MATRICES, Vol.13(3), pp.705-732
2019
DOI: https://doi.org/10.7153/oam-2019-13-51

Abstract

Mathematics Physical Sciences Science & Technology
This paper is devoted to the study of some new classes of operators on Hilbert space called (n, m)-power D-normal ([(n, m)DN]) and (n, m)-power D-quasi-normal ([(n, m)DQN]), associated with a Drazin invertible operator using its Drazin inverse. Some properties of [(n, m)DN] and [(n, m)DQN] are investigated and some examples are also given.

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