Operator-valued Khintchine inequality for $ε$-free semicircles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915568480681984 |
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| author | Collins, Benoît Miyagawa, Akihiro |
| author_facet | Collins, Benoît Miyagawa, Akihiro |
| contents | We exhibit several bounds for operator norms of the sum of $ε$-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 $ε$, we show analogs of the operator-valued Khintchine-type inequality obtained by Haagerup and Pisier. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10558 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Operator-valued Khintchine inequality for $ε$-free semicircles Collins, Benoît Miyagawa, Akihiro Functional Analysis Operator Algebras We exhibit several bounds for operator norms of the sum of $ε$-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 $ε$, we show analogs of the operator-valued Khintchine-type inequality obtained by Haagerup and Pisier. |
| title | Operator-valued Khintchine inequality for $ε$-free semicircles |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2503.10558 |