Schoenberg correspondence for multifaced independence

We extend the Schoenberg correspondence for universal independences by Schürmann & Voß to the multivariate setting of Manzel & Schürmann, covering, e.g., Voiculescu's bifreeness as well as Bożejko & Speicher's c-free independence. At the same time, we free the proof in the univariate situation from its dependence on Muraki's “5 Independences Theorem”.

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Publication Details

Journal
Journal of Functional Analysis
Published
2025-09-19
DOI
https://doi.org/10.1016/j.jfa.2025.111212
Citations
2
Primary Topic
Random Matrices and Applications
Type
article
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article

Schoenberg correspondence for multifaced independence

Malte Gerhold
2 citations
Journal of Functional Analysis
Random Matrices and Applications
article

Schoenberg correspondence for multifaced independence

Malte Gerhold
article en
2 citations

Abstract

We extend the Schoenberg correspondence for universal independences by Schürmann & Voß to the multivariate setting of Manzel & Schürmann, covering, e.g., Voiculescu's bifreeness as well as Bożejko & Speicher's c-free independence. At the same time, we free the proof in the univariate situation from its dependence on Muraki's “5 Independences Theorem”.

Journal of Functional AnalysisVol. 290(1)
Universität Greifswald (DE)
Reduced inequalities
Openalex Percentile: Top 100%
Random Matrices and Applications
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Schoenberg correspondence for multifaced independence — Malte Gerhold · Journal of Functional Analysis (2025) | TGRS Research Map | TGRS