Hamdullah BAŞARAN, Mehmet GÜRDAL, Ayşe Nur GÜNCAN

5520

Some operator inequalities associated with Kantorovich and Hölder-McCarthy inequalities and their applications

We prove analogs of certain operator inequalities, including Hölder-McCarthy inequality, Kantorovich inequality, and Heinz-Kato inequality, for positive operators on the Hilbert space in terms of the Berezin symbols and the Berezin number of operators on the reproducing kernel Hilbert space.
Keywords:

Reproducing kernel Hilbert space, Berezin symbol, Berezin number, positive operator Hölder-McCarthy-type inequality, Kantorovich-type inequality, Heinz-Kato inequality,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
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