Hamdullah BAŞARAN, Mehmet GÜRDAL, Ayşe Nur GÜNCAN

10696

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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