NEW BEREZIN RADIUS UPPER BOUNDS
Proceedings of the Institute of Mathematics and Mechanics, vol.49, no.2, pp.210-218, 2023 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 49 Issue: 2
- Publication Date: 2023
- Doi Number: 10.30546/2409-4994.2023.49.2.210
- Journal Name: Proceedings of the Institute of Mathematics and Mechanics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.210-218
- Keywords: Berezin radius, Berezin symbol, functional Hilbert space, operator norm
- Open Archive Collection: AVESIS Open Access Collection
- Süleyman Demirel University Affiliated: Yes
Abstract
In this paper, we provide the new Berezin radius inequalities on the space of operators defined on a functional Hilbert space. By using these inequalities, we obtain various upper bounds for the Berezin radius of functional Hilbert space operators. We prove, in particular, the following sharp upper bound(Formula presented) for arbitrary T, S ∈ B (H) and ξ ≥ 0. Other related issues are also discussed.