Preprint
MID and subnormal safe quotients for geometrically regular weighted shifts
ArXiv.org
12/11/2023
DOI: 10.48550/arxiv.2312.06390
Abstract
Geometrically regular weighted shifts (in short, GRWS) are those with weights
$\alpha (N,D)$ given by $\alpha_n (N,D) = \sqrt{\frac{p^n + N}{p^n + D}}$,
where $p > 1$ and $(N,D)$ is fixed in the open unit square $ (-1, 1)\times (-1,
1)$. We study here the zone of pairs $ (M,P)$ for which the weight
$\frac{\alpha (N,D) }{ \alpha (M,P) }$ gives rise to a moment infinitely
divisible ($ \mathcal {MID}$) or a subnormal weighted shift, and deduce
immediately the analogous results for product weights $\alpha (N,D) \alpha
(M,P)$, instead of quotients. Useful tools introduced for this study are a pair
of partial orders on the GRWS.
Details
- Title: Subtitle
- MID and subnormal safe quotients for geometrically regular weighted shifts
- Creators
- Chafiq BenhidaRaúl E CurtoGeorge R Exner
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arxiv.2312.06390
- ISSN
- 2331-8422
- Language
- English
- Date posted
- 12/11/2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984530396602771
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