Browsing by Author "Anyembe Lilian"

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    Properties of Unitary Quasi-Equivalence on Isometry, Co-Isometry, and Partial Isometry Operators
    (2024-04-16) Anyembe Lilian; Musundi Sammy Wabomba; Kinyanjui Jeremiah Ndung’u
    The 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.