A note on Similarity, Almost-Similarity and Equivalence of Operators

Citation:
MUTUKU DRNZIMBIBERNARD, P PROFPOKHARIYALGANESH, M PROFKHALAGAIJAIRUS. "A note on Similarity, Almost-Similarity and Equivalence of Operators." Far East Mathematics Journal. 2008;28(2(February 2008)):305-317.

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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