@article {83780,
	title = {ON THE CLASS OF n-NORMAL OPERATORS AND MOORE-PENROSE INVERSE},
	journal = {Advances in Mathematics: Scientific Journal},
	volume = {12},
	number = {1},
	year = {2023},
	pages = {1{\textendash}16},
	abstract = {
	Let T ∈ B(H) be a bounded linear operator on a complex Hilbert space H. For n ∈ N, an operator T ∈ B(H) is said to be n-normal if T nT * = T *T n. In this paper we investigate a necessary and sufficient condition for the n-normality of ST and T S, where S, T ∈ B(H). As a consequence, we generalize Kaplansky theorem for normal operators to n-normal operators. Also, In this paper, we provide new characterizations of n-normal operators by certain conditions involving powers of Moore-Penrose inverse.

},
	url = {https://www.research-publication.com/amsj/uploads/papers/vol-12/iss-01/AMSJ-2023-N01-01.pdf},
	author = {Elgues, Anissa and Menkad, Safa}
}
