NEW BEREZIN RADIUS UPPER BOUNDS
Proceedings of the Institute of Mathematics and Mechanics, cilt.49, sa.2, ss.210-218, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.30546/2409-4994.2023.49.2.210
- Dergi Adı: Proceedings of the Institute of Mathematics and Mechanics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.210-218
- Anahtar Kelimeler: Berezin radius, Berezin symbol, functional Hilbert space, operator norm
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.