A short note on strong convergence of $q$-Gaussians
Operator Algebras
2023-06-30 v1 Functional Analysis
Abstract
In this note, we prove strong convergence of -Gaussians with respect to a parameter , which implies the spectrum of any self-adjoint non-commutative polynomial in -Gaussians is continuously deformed with respect to . With Bo\.{z}ejko's Haagerup-type inequality, we follow Brannan's approach to proving the asymptotic strong convergence of the free orthogonal quantum group.
Keywords
Cite
@article{arxiv.2306.16679,
title = {A short note on strong convergence of $q$-Gaussians},
author = {Akihiro Miyagawa},
journal= {arXiv preprint arXiv:2306.16679},
year = {2023}
}
Comments
6 pages. Comments are welcome