Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1811-10
Keywords
Reproducing kernel Hilbert space, Berezin symbol, Berezin number, positive operator, Hölder-McCarthy-type inequality, Kantorovich-type inequality, Heinz-Kato inequality
First Page
523
Last Page
532
Recommended Citation
BAŞARAN, H, GÜRDAL, M, & GÜNCAN, A. N (2019). Some operator inequalities associated with Kantorovich and Hölder-McCarthyinequalities and their applications. Turkish Journal of Mathematics 43 (1): 523-532. https://doi.org/10.3906/mat-1811-10
