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.
Author(s) Details:
Anyembe Lilian,
Department of Physical Sciences, Chuka University, P.O
Box-109-60400, Chuka, Kenya.
Musundi
Sammy Wabomba,
Department
of Physical Sciences, Chuka University, P.O Box-109-60400, Chuka, Kenya.
Kinyanjui Jeremiah Ndung’u,
Department of Pure and Applied Sciences, Kirinyaga University, P.O
Box-143-10300, Kerugoya, Kenya.
Please see the link here: https://stm.bookpi.org/CPSTR-V9/article/view/14172
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