A note on similarity, almost -similarity and equivalence of operators

Citation:
Khalagai JM, Pokhariyal GP, Nzimbi. "A note on similarity, almost -similarity and equivalence of operators."; 2007.

Abstract:

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.

A note on similarity, almost -similarity and equivalence of operators

UoN Websites Search