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arXiv · 1402.5046

Schur coupling and related equivalence relations for operators on a Hilbert space

Dan Timotin
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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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Dan Timotin. 2014-02-20. Schur coupling and related equivalence relations for operators on a Hilbert space. https://arxiv.org/abs/1402.5046

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