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dc.contributor.authorKipkemoi, Samson T
dc.description.abstractIn this thesis, we study unitary equivalence, similarity, quasisimilarity, almost similarity and metric equivalence of operators acting on separable Hilbert spaces. We also study the Murray-von Neumann relation of projections and other equivalence relation of operators in Hilbert spaces. We study the relation between equivalence classes of bounded linear op- erators with respect to di erent properties such as being self-adjoint, projections, normal, unitary and having speci c rank. We will investigate the spectral picture, norms, spectral radii, numerical range, lattice of their invariant subspaces, hyperinvariant subspaces and reducing subspaces of almost similar operators and metrically equivalent operators. Simi- larly, we characterize near equivalence, Murray-von Neumann equivalence, stable unitary equivalence and stable similarity of operatorsen_US
dc.publisherUniversity of Nairobien_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.titleOn almost similarity and other related equivalence relations of operators in Hilbert spacesen_US

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