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dc.contributor.authorMusundi, S. Wabomba-
dc.contributor.authorSitati, N. Isaiah-
dc.contributor.authorMutuku, Nzimbi B.-
dc.contributor.authorLunani, Murwayi A.-
dc.date.accessioned2017-03-11T09:37:22Z-
dc.date.available2017-03-11T09:37:22Z-
dc.date.issued2013-06-
dc.identifier.citationMusundi S. Wabomba, Sitati N. Isaiah, Nzimbi B. Mutuku, Murwayi A. Lunani,"On Almost Similarity Operator Equivalence Relation" in IJRRAS vol 15(3)2013.en_US
dc.identifier.urihttp://localhost:8080/xmlui/handle/1/139-
dc.descriptionThis Article contains References.en_US
dc.description.abstractWe consider the almost similarity property which is a new class in operator theory and was first introduced by A. A. S. Jibril. We establish that almost similarity is an equivalence relation. Some results on almost similarity and isometries, compact operators, hermitian, normal and projection operator are also shown. By characterization of unitary equivalence operators in terms of almost similarity we prove that operators that are similar are almost similar. We also claim that quasi-similarity implies almost similarity under certain conditions (i.e. if the quasi-affinities are assumed to be unitary operators). Furthermore, a condition under which almost similarity of operators implies similarity is investigated. Lastly, we show that two bounded linear operators of a Banach algebra on a Hilbert space are both completely non-unitary if they are contractions which are almost similar to each other.en_US
dc.language.isoenen_US
dc.subjectAlmost similarity, unitary equivalence, unitary operator.en_US
dc.titleOn Almost Similarity Operator Equivalence Relation.en_US
dc.typeArticleen_US
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