On some generalizations of (n,m)- normal powers operators on Hilbert space

Eiman H. Abood; Mustafa A. Al-loz

Eiman H. Abood Department of mathematics, College of science, University of Baghdad, Baghdad, Iraq
Mustafa A. Al-loz Department of mathematics, College of science, University of Baghdad, Baghdad, Iraq

Keywords: Normal operators, (n, m)-normal powers operator, n-power quasi-normaloperator, n-power class (Q).

Abstract

Recall that an operator 𝑇 ∈ 𝐵(𝐻) is called (𝑛, 𝑚) -normal powers operator if and only if 𝑇^𝑛 (𝑇^𝑚 )^∗ = (𝑇^𝑚 )^∗𝑇^𝑛 for some nonnegative integers 𝑛 and m. Throughout this paper, we introduce some types of generalizations of (𝑛, 𝑚) -normal powers operators and study some of them properties.

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References

Abood E. H. and Al-loz M. A., On some generalization of normal operators onHilbert space,Iraqi J. of Sci., 2C (56) (2015), 1786-1794.

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On some generalizations of (n,m)- normal powers operators on Hilbert space

Abstract

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