International Journal of Mathematics Trends and Technology
Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P538
In this paper, properties of the automorphism class GA of A - unitary, A - normal and A - hypernormal operators on a Hilbert space are investigated. In this context, A is a self-adjoint and an invertible operator. It is also proved that A - unitary equivalence is an equivalence relation. More results on A - unitary operators are also proved in terms of the polar decomposition of an operator T. Finally, A-hyponormal operators are stated and then prove the result that an A -skew- adjoint opetator is A - unitary but not unitary.
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Isaiah Nalianya Sitati, "Results On A-Unitary, A-Normal and A-Hyponormal Operators," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 322-329, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P538
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