On some operator equivalences in Hilbert spaces
Karani Sammy, Denis Njue Kingangi, Linety N. Muhati · Journal of Mathematical Problems Equations and Statistics · 2025
This paper is on some classes of operators which happen to be invariant under unitary and metric equivalences. In particular, we show that the classes of n-θ Operators, α-supraposinormal operators and S- operators are both isometrically and coisometrically and hence unitarily invariant while the class of supraposinormal is invariant under both unitary and metric equivalences.