B.M. Nzimbi, G.P. Pokhariyal and J.M. Khalagai, A note on Similarity, Almost-Similarity and Equivalence of Operators, Far East Mathematics Journal, Vol 28, Issue 2(February 2008), 305-317.

Citation:
MUTUKU DRNZIMBIBERNARD, P PROFPOKHARIYALGANESH, M PROFKHALAGAIJAIRUS. "B.M. Nzimbi, G.P. Pokhariyal and J.M. Khalagai, A note on Similarity, Almost-Similarity and Equivalence of Operators, Far East Mathematics Journal, Vol 28, Issue 2(February 2008), 305-317.". In: Far East Mathematics Journal, Vol 28, Issue 2(February 2008), 305-317. Kenya Journal of Sciences(KJS),; 2008.

Abstract:

The almost-similar and similar relations between operators on finite-dimensional Hilbert spaces are investigated. It is shown that almost-similar operators share some properties with some other classes of operators. Various results on almost-similarity and similarity are proved. An attempt is made to classify those operators where almost-similarity implies similarity. We investigate some properties of corresponding parts of operators which enjoy these equivalence relations.

Notes:

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