Schur coupling and related equivalence relations for operators on a Hilbert space
Functional Analysis
2014-03-04 v2
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.
Keywords
Cite
@article{arxiv.1402.5046,
title = {Schur coupling and related equivalence relations for operators on a Hilbert space},
author = {Dan Timotin},
journal= {arXiv preprint arXiv:1402.5046},
year = {2014}
}