 

Ulaş Yamancı and Mehmet Gürdal
On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space view print


Published: 
October 24, 2017

Keywords: 
HardyHilbert type inequalities, Berezin number, numerical radius, positive operator 
Subject: 
47A63 


Abstract
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 HardyHilbert 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.


Acknowledgements
This work is supported by TUBA through Young Scientist Award Program (TUBAGEBIP/2015).


Author information
Ulaş Yamancı:
Suleyman Demirel University, Department of Statistics, 32260, Isparta, Turkey
ulasyamanci@sdu.edu.tr
Mehmet Gürdal:
Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey
gurdalmehmet@sdu.edu.tr

