Some results related to the Berezin number inequalities

YAMANCI, Ulaş; Garayev, Mubariz

doi:10.3906/mat-1812-12

Some results related to the Berezin number inequalities

YAMANCI U., Garayev M.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.4, ss.1940-1952, 2019 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 43 Sayı: 4
Basım Tarihi: 2019
Doi Numarası: 10.3906/mat-1812-12
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.1940-1952
Anahtar Kelimeler: Berezin number, positive operator, reproducing kernel Hilbert space, Berezin symbol, McCarthy inequality, NUMERICAL RADIUS INEQUALITIES, REPRODUCING KERNELS, TOEPLITZ-OPERATORS, INVERTIBILITY, COMPACTNESS
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we prove reverse inequalities for the so-called Berezin number of some operators. Also, by using the classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of A(alpha) X B-alpha and A(alpha) X B1-alpha for the case when 0 <= alpha <= 1.