Anyembe LilianMusundi Sammy WabombaKinyanjui Jeremiah Ndung’u2026-06-092026-06-092024-04-16Anyembe, L., Musundi, S. W., & Kinyanjui, J. N. (2024). Properties of unitary quasi-equivalence on isometry, co-isometry, and partial isometry operators.https://repository.chuka.ac.ke/handle/123456789/22819swmusundi@chuka.ac.keThe present study aims to determine the properties of unitary quasi-equivalence and isometry, co-isometry and partial isometry operators. Unitary quasi- equivalence has been shown to be an equivalence relation. Similarly, unitary quasi-equivalence has been proven to preserve normality, hyponormality and binormality of operators. However, the properties of unitary quasi-equivalence and partial isometric operators have not been established. Based on the preceding results, it establishes that unitary quasi-equivalent operators preserve; isometry, co-isometry and partial isometric properties.enUnitary quasi-equivalenceisometryco-isometrypartial isometryoperator and Hilbert space.Article