Further refinements of the Berezin number inequalities on operators

YAMANCI U., Murat Karli I.

LINEAR & MULTILINEAR ALGEBRA, cilt.70, sa.20, ss.5237-5246, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 20
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/03081087.2021.1910123
  • Dergi Adı: LINEAR & MULTILINEAR ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.5237-5246
  • Anahtar Kelimeler: Berezin number, Berezin symbol, inequalities, reproducing kernel Hilbert space
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we obtain some inequalities for the Berezin number of operators on reproducing kernel Hilbert spaces by using the Krein-Lin inequality and refinements of the Young inequality. Also, we give upper bounds for ber(2)(A) - ber(A(2)) on reproducing kernel Hilbert spaces.