Berezin Number Inequalities via Convex Functions

Huban, Mualla; Başaran, Hamdullah; GÜRDAL, Mehmet

doi:10.2298/fil2207333h

Berezin Number Inequalities via Convex Functions

Huban M. B., Başaran H., GÜRDAL M.

Filomat, cilt.36, sa.7, ss.2333-2344, 2022 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 36 Sayı: 7
Basım Tarihi: 2022
Doi Numarası: 10.2298/fil2207333h
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.2333-2344
Anahtar Kelimeler: Berezin symbol, Berezin number, reproducing kernel Hilbert space, mixed Schwarz inequality, NUMERICAL RADIUS INEQUALITIES, NORM INEQUALITIES, OPERATORS, BOUNDS, SUMS
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

© 2022, University of Nis. All rights reserved.The Berezin symbol Ã of an operator A on the reproducing kernel Hilbert space H (Ω) over some set Ω with the reproducing kernel kξ is defined by (Formula presented) The Berezin number of an operator A is defined by (Formula presented) We study some problems of operator theory by using this bounded function Ã, including treatments of inner product inequalities via convex functions for the Berezin numbers of some operators. We also establish some inequalities involving of the Berezin inequalities.