THE CLASS OF (n,m) POWER -A-QUASI-HYPONORMAL OPERATORS IN SEMI-HILBERTIAN SPACE

Bekai, Djilali, Abdelkader Benali,, Ali Hakem,

Abstract


The concept of -quasi-hyponormal operators on semi-Hilbertian space is defined by Ould Ahmed Mahmoud Sid Ahmed and Abdelkader Benali in This paper is devoted to the study  of new class of operators on semi-Hilbertian space called power-A-quasi-hyponormal denoted.We give some basic properties of these operators and some examples are also given .An operator is said to be ) power-- quasi-hyponormal for some positive operator and for some positive integers and if or equivalently  


Keywords


Semi-Hilbertian space, A-positive, A-normal, A-hyponormal, A-quasi-hyponormal.

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