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Ulaş Yamancı and Mehmet Gürdal
On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space view print
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| Published: |
October 24, 2017
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| Keywords: |
Hardy-Hilbert type inequalities, Berezin number, numerical radius, positive operator |
| Subject: |
47A63 |
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Abstract
The fundamental inequality w( An) ≦ wn(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.
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| Acknowledgements
This work is supported by TUBA through Young Scientist Award Program (TUBA-GEBIP/2015).
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| 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
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