A Note on Quasi-Similarity of Operators in Hilbert Spaces

dc.contributor.authorSitati, I.N.
dc.contributor.authorMusundi, S.W.
dc.date.accessioned2025-06-05T12:24:46Z
dc.date.available2025-06-05T12:24:46Z
dc.date.issued2016
dc.descriptionswmusundi@chuka.ac.ke
dc.description.abstractThis paper reports on the notion of Quasi-similarity of bounded linear operators in Hilbert Spaces, defines a quasi-affinity from one Hilbert Space H to K and discusses results on quasi-affinities. It has been shown that on a finite dimensional Hilbert Space, quasi-similarity is an equivalence relation; it is reflexive, symmetric and transitive. Using the definition of commutants of two operators, an alternative result is given to show that quasi-similarity is an equivalence relation on an infinite dimensional Hilbert Space. The relationship between quasi-similarity and almost similarity equivalence relations in Hilbert Spaces using hermitian and normal operators is established.
dc.identifier.citationSitati, I.N., & Musundi, S.W. (2016). A note on quasi-similarity of operators in Hilbert spaces. In: Isutsa, D.K. and Githae, E.W. Proceedings of the Second Chuka University International Research Conference held in Chuka University, Chuka, Kenya from 28th to 30th October, 2015. 357-363 pp.
dc.identifier.urihttps://repository.chuka.ac.ke/handle/123456789/19978
dc.language.isoen
dc.publisherChuka University
dc.subjectQuasi-similarity
dc.subjectQuasi affinities
dc.subjectEquivalence Relations
dc.subjectCommutants
dc.titleA Note on Quasi-Similarity of Operators in Hilbert Spaces
dc.typeArticle

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