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Schur coupling and related equivalence relations for operators on a Hilbert space
Published 20 Feb 2014 in math.FA | (1402.5046v2)
Abstract: For operators on Hilbert spaces of any dimension, we show that equivalence after extension coincides with equivalence after one-sided extension, thus obtaining a proof of their coincidence with Schur coupling. We also provide a concrete description of this equivalence relation in several cases, in particular for compact operators.
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