Some inequalities involving Berezin symbols of operator means and related questions


Garayev M., Saltan S., Bouzeffour F., Aktan B.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.114, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 114 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s13398-020-00815-5
  • Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

Özet

In this paper, by using some classical operator means and classical operator inequalities, we investigate Berezin number of operators. In particular, we compare the Berezin number of some operator means of two positive operators. We also use some Hardy type inequalities to obtain a power inequality for the Berezin number of an operator. Moreover, by applying some inequalities for nonnegative Hermitian forms, some vector inequalities for n-tuple operators via Berezin symbols are established.