Properties of Unitary Quasi-Equivalence on Isometry, Co-Isometry, and Partial Isometry Operators

Authors

  • 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.

DOI:

https://doi.org/10.9734/bpi/cpstr/v9/8382E

Keywords:

Unitary quasi-equivalence, isometry, co-isometry, partial isometry, operator and Hilbert space

Abstract

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.

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Published

2024-04-18

How to Cite

Anyembe Lilian, Musundi Sammy Wabomba, & Kinyanjui Jeremiah Ndung’u. (2024). Properties of Unitary Quasi-Equivalence on Isometry, Co-Isometry, and Partial Isometry Operators. Contemporary Perspective on Science, Technology and Research Vol. 9, 122–134. https://doi.org/10.9734/bpi/cpstr/v9/8382E

Issue

Contemporary Perspective on Science, Technology and Research Vol. 9

Section

Chapters