Berezin number inequalities in terms of Specht’s ratio Specht Oranına Göre Berezin Sayı Eşitsizlikleri
El-Cezeri Journal of Science and Engineering, cilt.9, sa.4, ss.1201-1214, 2022 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 4
- Basım Tarihi: 2022
- Doi Numarası: 10.31202/ecjse.1131830
- Dergi Adı: El-Cezeri Journal of Science and Engineering
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.1201-1214
- Anahtar Kelimeler: Berezin number, Hilbert functional space, positive operator, Specht’s ratio
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
Smooth functions are associated with operators on Hilbert spaces of analytic functions through the Berezin transform. The Berezin symbol and the Berezin number of an operator A on the Hilbert functional space ℋ(Ω) over some set Ω with the reproducing kernel are defined, respectively, by (Formula presented) By using this bounded function Ã, we present some new Berezin number inequalities of Hilbert functional space operators. Some inequalities with respect to Specht’s ratio are improved and generalized. Using these modifications, we also establish various new inequalities for the Berezin radius and Berezin norm of operators.