Upper bounds for Berezin numbers of self-adjoint operators and applications

Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

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Hardy-Hilbert type inequalities for Hilbert space operators
Applications of reproducing kernels and Berezin symbols
Berezin number and numerical radius inequalities for operators on Hilbert spaces
Improved Young and Heinz inequalities for matrices
On operators with similar positive parts
Toeplitz operators and the Berezin transform on \(H^ 2\)
Berezin number inequalities for operators
Commutant and uniqueness of solutions of Duhamel equations
On some problems for reproducing kernel Hilbert space operators via the Berezin transform
Some new relations between the Berezin number and the Berezin norm of operators
On the Banach algebra structure for \(C^{(\mathbf{n})}\) of the bidisc and related topics
Some inequalities involving Berezin symbols of operator means and related questions
The Berezin Number, Norm of a Hankel Operator and Related Topics
Berezin transform and Weyl-type unitary operators on the Bergman space
Berezin number of operators and related questions
Some Berezin number inequalities for operator matrices
Refinements of Kantorovich type, Schwarz and Berezin number inequalities
QUANTIZATION
Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces
Quasi Grüss' type inequalities for continuous functions of selfadjoint operators in Hilbert spaces
COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
Theory of Reproducing Kernels
The weighted and the Davis-Wielandt Berezin number
On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities

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