Anyembe L.Musundi S.W.Kinyanjui J. N.2025-04-092025-04-092023Anyembe L., Musundi S.W., Kinyanjui J. N. (2023). On Unitary Quasi- Equivalence and Partial Isometry Operators in Hilbert Spaces. In: Isutsa, D. K. (Ed.). Proceedings of the Chuka University 9th Annual International Research Conference held in Chuka University, Chuka, Kenya from 24th to 25th November, 2022. 391-395 pp.https://repository.chuka.ac.ke/handle/123456789/17625anyembelilian@gmail.com; swmusundi@chuka.ac.keProperties of almost similarity and unitary equivalence operators on different classes of operators have been established by various researchers in the recent past. On the other hand, unitary quasi- equivalence has been shown to preserve unitary, normality, hyponormality and binormality of operators. However, properties of unitary quasi-equivalence on partial isometric operators has not been fully established. This study therefore, determines properties of unitary quasi-equivalence on partial isometric operators.enUnitary quasi-equivalenceisometryco-isometrypartial isometryoperator and Hilbert space.Article