A note on similarity, almost -similarity and equivalence of operators
Khalagai, J. M.
Pokhariyal, G. P
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The almost- similar and similar relations between operators on finitedimensional 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.