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Geometric dilations and operator annuli
Journal article   Open access   Peer reviewed

Geometric dilations and operator annuli

JOURNAL OF FUNCTIONAL ANALYSIS, v 285(7), 110035
01 Oct 2023
url
https://arxiv.org/pdf/2202.08872View

Abstract

Fix 0 < r < 1. The dilation theory for the quantum annulus QAr, consisting of those invertible Hilbert space operators T satisfying IITII , IIT-1II < r-1, is determined. The proof technique involves a geometric approach to dilation that applies to other well known dilation theorems. The dilation theory for the quantum annulus is compared, and contrasted, with the dilation theory for other canonical operator annuli. & COPY; 2023 Elsevier Inc. All rights reserved.

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