NEW UPPER BOUNDS RELATED TO THE BEREZIN NUMBER INEQUALITIES
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, vol.12, no.3, pp.1-12, 2021 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 3
- Publication Date: 2021
- Journal Name: JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.1-12
- Keywords: Berezin symbol, Berezin number, numerical radius, reproducing kernel Hilbert space, bounded linear operator, inequality, NUMERICAL RADIUS INEQUALITIES, HILBERT-SPACE OPERATORS, HOLDER-MCCARTHY, SYMBOLS
- Süleyman Demirel University Affiliated: Yes
Abstract
The Berezin symbol (A) over tilde of an operator A on the reproducing kernel Hilbert space H(Omega) over some set Omega with the reproducing kernel K-lambda is defined by