Work

Improved Berezin radius inequalities for functional Hilbert space operators

Year: 2025

Type: article

Abstract: The Berezin number of an operator S is defined by ber(S) = supλ∈Θ |Ŝ(λ)| = supλ∈Θ |⟨Sĸ̂λ, ĸ̂λ⟩|, where Ŝ(λ) = ⟨Sĸ̂λ, ĸ̂λ⟩ (λ ∈ Θ) is the Berezin transform of an operator S on the functional Hilbert space ℋ = ℋ(Θ) and ĸ̂λ = ĸλ / ‖ĸλ‖ is the normalized reproducing kernel of ℋ. In this paper, we show an improvement of the classical Cauchy–Schwarz inequality involving the Berezin number. Moreover, some Berezin numbers inequalities are proven for invertible operators.

Source: TURKISH JOURNAL OF MATHEMATICS

DOI: 10.55730/1300-0098.3607

Authors: MOJTABA BAKHERAD, ULAŞ YAMANCI, MOHAMMAD W. ALOMARI

Institutions: University of Sistan and Baluchestan, Süleyman Demirel Üniversitesi, Irbid National University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7082368461

FWCI: 1.893

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Cited by: 1

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