On Unitary Quasi-Equivalence of Operators
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Keywords:Unitary quasi-equivalence, near-equivalence, isometric equivalence, metric equivalence, skew-normal
In this paper we investigate unitary quasi-equivalence of operators in Hilbert spaces. We characterize operators that are unitarily quasi-equivalent. We also investigate equivalence relations closely related to unitary quasi-equivalence. We give and prove conditions under which unitary quasi-equivalence coincides with other operator equivalence relations.
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