On Quasiaffinity and Quasiaffine inverses of partial isometries

M PROFKHALAGAIJAIRUS, M PROFKHALAGAIJAIRUS. "On Quasiaffinity and Quasiaffine inverses of partial isometries.". In: Bulletin of the Allahabad Mathematical Society Vol. 15 35-40. Global Journal of Pure and Applied Mathematics(GJPAM), 2012, to appear; 2000.


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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