COMPLETE REFINEMENTS OF THE BEREZIN NUMBER INEQUALITIES
JOURNAL OF MATHEMATICAL INEQUALITIES, cilt.13, sa.4, ss.1117-1128, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 4
- Basım Tarihi: 2019
- Doi Numarası: 10.7153/jmi-2019-13-79
- Dergi Adı: JOURNAL OF MATHEMATICAL INEQUALITIES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1117-1128
- Anahtar Kelimeler: Berezin number, Berezin symbol, Heinz means, KERNEL HILBERT-SPACE, NUMERICAL RADIUS, OPERATORS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators acting on a reproducing kernel Hilbert space H = H(Omega) and also impmve them. Among other inequalities, it is shown that if A,B is an element of B(H) such that vertical bar A vertical bar B = B* vertical bar A vertical bar. f and g are nonnegative continuous functions on [0,infinity) satisfying f(t)g(t) = t (t >= 0). then