Unitary dilation of freely independent contractions

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operator algebras (math.OA), functional analysis (math.FA)

Abstract (summary)

Inspired by the Sz.-Nagy-Foias dilation theorem we show that n freely independent contractions dilate to n freely independent unitaries.

Publication Information

Atkinson, S. and C. Ramsey. "Unitary dilation of freely independent contractions", Proceedings of the American Mathematical Society 145 (2017), 1729-1737. https://doi.org/10.1090/proc/13345

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English

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All Rights Reserved

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