Some inequalities on functional Hilbert space operators
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DOI:
https://doi.org/10.5281/zenodo.14897864Keywords:
Functional Hilbert Space, Berezin Symbol, Positive Operator, Berezin Radius, InequalityAbstract
Several Berezin radius and norm inequalities for functional Hilbert space operators are provided
in this study. Some previous comparable inequalities are improved by these inequalities. We show that
�
�er2(U1) ≤ 1
2
‖|U1|4 + |U1 *|4 + 1
2
1/2
(|U1|2 + |U1 *|2)2‖
ber
for an operator U1.
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References
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