Some New Berezin Number Inequalities for 2×2 Operator Matrices

Guesba, Messaoud; Kittaneh, Fuad; Yamanc, Ulaş

doi:10.1007/s10013-024-00714-x

Some New Berezin Number Inequalities for 2×2 Operator Matrices

Guesba M., Kittaneh F., Yamanc U.

Vietnam Journal of Mathematics, 2024 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2024
Doi Numarası: 10.1007/s10013-024-00714-x
Dergi Adı: Vietnam Journal of Mathematics
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, MathSciNet, zbMATH
Anahtar Kelimeler: 47A08, 47A12, 47A30, 47B15, Berezin number, Berezin symbol, Inequalities, Reproducing kernel Hilbert space
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we consider bounds for the Berezin numbers of operator matrices. More precisely, we prove some new Berezin number inequalities for 2×2 off-diagonal block operators. Some other related results are also presented.