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On N-A-Metrically Equivalent and A-Metrically Equivalent Operators
(International Journal of Mathematics And its Applications, 2021)
A-metrically equivalent operators may be regarded as a generalization of metrically equivalent operators. This is realized
when A= I and T
]= T
∗
.
Definition 1.1. Two operators S ∈ BA(H) and T ∈ BA(H) are said to ...
On class (n, mBQ) Operators
(World Journal of Advanced Research and Reviews, 2021-06-26)
In this paper, we introduce the class of (n, mBQ) operators acting on a complex Hilbert space H. An operator if T ∈ B (H) is said to belong to class (n, mBQ) if T ∗2mT 2n commutes with (T ∗mTn ) 2 equivalently [T ∗2mT 2n, ...