COMPLETE REFINEMENTS OF THE BEREZIN NUMBER INEQUALITIES


Bakherad M., Lashkaripour R., Hajmohamadi M., YAMANCI U.

JOURNAL OF MATHEMATICAL INEQUALITIES, cilt.13, ss.1117-1128, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.7153/jmi-2019-13-79
  • Dergi Adı: JOURNAL OF MATHEMATICAL INEQUALITIES
  • Sayfa Sayıları: ss.1117-1128

Özet

In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators acting on a reproducing kernel Hilbert space H = H(Omega) and also impmve them. Among other inequalities, it is shown that if A,B is an element of B(H) such that vertical bar A vertical bar B = B* vertical bar A vertical bar. f and g are nonnegative continuous functions on [0,infinity) satisfying f(t)g(t) = t (t >= 0). then