Journal of Mathematical Problems, Equations and Statistics
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P-ISSN: 2709-9393, E-ISSN: 2709-9407
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2025, Vol. 6, Issue 2, Part A


On some operator equivalences in Hilbert spaces


Author(s): Karani Sammy, Denis King’ang’i and Linety Muhati

Abstract: This paper is on some classes of operators which happen to be invariant under unitary and metric equivalences. In particular, we show that the classes of n-θ Operators, α-supraposinormal operators and S- operators are both isometrically and coisometrically and hence unitarily invariant while the class of supraposinormal is invariant under both unitary and metric equivalences.

DOI: https://doi.org/10.22271/math.2025.v6.i2a.214

Pages: 01-07 | Views: 118 | Downloads: 58

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Journal of Mathematical Problems, Equations and Statistics
How to cite this article:
Karani Sammy, Denis King’ang’i and Linety Muhati. On some operator equivalences in Hilbert spaces. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(2): 01-07. DOI: 10.22271/math.2025.v6.i2a.214
Journal of Mathematical Problems, Equations and Statistics
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