The weighted Davis-Wielandt Berezin number for reproducing kernel Hilbert space operators

• Published in: Journal of inequalities and applications Vol. 2025; no. 1; pp. 24 - 13
• Main Authors: Eslami Mahdiabadi, Nooshin, Bakherad, Mojtaba, Hajmohamadi, Monire, Petrushka, Mykola
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 27.02.2025; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Berezin set; Berezin symbol; Davis-Wielandt Berezin; Functionals; Hilbert space; Inequalities; Mathematics; Mathematics and Statistics; Operators (mathematics); Riesz theorem; Weighted Berezin number; Davis-Wielandt Berezin; 47B06; Weighted Berezin number; Berezin symbol; 47B34; Berezin set; 47B32

A functional Hilbert space is the Hilbert space of complex-valued functions on some set Θ ⊆ C that the evaluation functionals φ λ ( f ) = f ( λ ) , λ ∈ Θ are continuous on H . Then, by the Riesz representation theorem, there is a unique element k λ ∈ H such that f ( λ ) = 〈 f , k λ 〉 for all f ∈ H a...