A characterization of operators via Berezin symbol and related questions


Yamancl U.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.31, sa.3, ss.245-253, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2478/auom-2023-0042
  • Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.245-253
  • Anahtar Kelimeler: Berezin norm, Berezin number, Berezin symbol, hyponormal operator, inequalities, reproducing kernel Hilbert space
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.