Operator‐valued Khintchine inequality for ε‐free semicircles
Abstract We exhibit several bounds for operator norms of the sum of ‐free semicircular random variables introduced in the paper of Speicher and Wysoczański. In particular, using the first and second largest eigenvalues of the adjacency matrix , we show analogs of the operator‐valued Khintchine‐type inequality obtained by Haagerup and Pisier.
Authors
- Akihiro Miyagawa (ORCID: https://orcid.org/0000-0002-2525-5283)
- Benoı̂t Collins (ORCID: https://orcid.org/0000-0001-7061-6861)
Institutions
- Kyoto University (JP)
- University of California San Diego (US)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-11-04
- DOI
- https://doi.org/10.1112/blms.70229
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00