On inequalities for A-Berezin radius of operators
Afrika Matematika, vol.35, no.2, 2024 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 35 Issue: 2
- Publication Date: 2024
- Doi Number: 10.1007/s13370-024-01186-5
- Journal Name: Afrika Matematika
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Keywords: 47A30, 47A63, A-adjoint operator, A-Berezin number, A-selfadjoint operator, Berezin symbol, Functional Hilbert space, Positive operator
- Süleyman Demirel University Affiliated: Yes
Abstract
We compute certain inequalities for B-Berezin radius of 2×2 operator matrices in the study that generalize and refine earlier inequalities. Furthermore, we construct A-Berezin radius inequalities of operators in BA,Υ(H) that improve on the current inequalities in Huban (Turk J Math 46(1):189–206, 2022). In addition, we establish A-Berezin radius bounds for sum of product of operators in BA,Υ(H), which improve on the previous bounds.