Unitary dilation of freely independent contractions

Atkinson, Scott; Ramsey, Christopher

doi:10.1090/proc/13345

Unitary dilation of freely independent contractions
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by Scott Atkinson and Christopher Ramsey PDF

Proc. Amer. Math. Soc. 145 (2017), 1729-1737 Request permission

Abstract:

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

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