A Note on Quasi-Similarity of Operators in Hilbert Spaces
dc.contributor.author | Sitati, I.N. | |
dc.contributor.author | Musundi, S.W. | |
dc.date.accessioned | 2025-06-05T12:24:46Z | |
dc.date.available | 2025-06-05T12:24:46Z | |
dc.date.issued | 2016 | |
dc.description | swmusundi@chuka.ac.ke | |
dc.description.abstract | This 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.citation | Sitati, 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.uri | https://repository.chuka.ac.ke/handle/123456789/19978 | |
dc.language.iso | en | |
dc.publisher | Chuka University | |
dc.subject | Quasi-similarity | |
dc.subject | Quasi affinities | |
dc.subject | Equivalence Relations | |
dc.subject | Commutants | |
dc.title | A Note on Quasi-Similarity of Operators in Hilbert Spaces | |
dc.type | Article |