Browsing by Author "Nzimbi, B. M. 1"
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Distribution of Spectrum in a Direct Sum Decomposition of Operators into Normal and Completely Non normal parts;
Mwenda, E.1; Musundi, S. W.2*; Nzimbi, B. M. 1; Marani, V. N. 3; Loyford, N. 4 (Modern Scientific Press Company, Florida, USA, 2014-09-05)We discuss the distribution of spectra of a direct sum decomposition of an arbitrary operator into normal and completely non normal parts. We utilize the fact that any given operator 𝑇∈𝐵(𝐻) can be ... -
On Almost Similarity and Metric Equivalence of operators. Accepted for publication
Nzimbi, B. M. 1; Luketero, S. W.1; Sitati, I. N. 2; Musundi, S.W. 3; Mwenda, E 3 (2016-06)In this paper, we investigate almost-similarity relation, metric equivalence and other relations of operators on Hilbert spaces. We characterize almost-similar, metrically equivalent operators. Roughly speaking, we consider ...