PROF.POKHARIYAL GANESH P
M.Sc. Mathematics 1st Class, M.Sc. Physics, 2nd Class, Allahabad University.Ph.D. and D.SC. Mathematics,Banaras Hindu University.
pokhariyal@uonbi.ac.ke
pokhariyal@uonbi.ac.ke
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.
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