On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space


YAMANCI U. , GÜRDAL M.

NEW YORK JOURNAL OF MATHEMATICS, cilt.23, ss.1531-1537, 2017 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 23
  • Basım Tarihi: 2017
  • Dergi Adı: NEW YORK JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1531-1537

Özet

The fundamental inequality w (A(n)) <= w(n) (A), (n = 1; 2, ...) for the numerical radius is much studied in the literature. But the inverse inequalities for the numerical radius are not well known. By using Hardy-Hilbert type inequalities, we give inverse numerical radius inequalities for reproducing kernel Hilbert spaces. Also, we obtain inverse power inequalities for the Berezin number of an operator.