SOME NOVEL INEQUALITIES FOR BEREZIN NUMBER OF OPERATORS


YAMANCI U., Guesba M., Uslu D.

Operators and Matrices, cilt.18, sa.2, ss.441-455, 2024 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.7153/oam-2024-18-27
  • Dergi Adı: Operators and Matrices
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.441-455
  • Anahtar Kelimeler: Berezin number, Berezin symbol, inequalities, reproducing kernel Hilbert space
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, some Berezin number inequalities of bounded linear operators defined on a reproducing kernel Hilbert space are developed which generalize and refine the earlier related inequalities. Some applications of the newly obtained inequalities are also provided.