On the Berezin number of operator matrices

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Cites Work

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Reproducing kernels and Berezin symbols techniques in various questions of operator theory
Notes on some inequalities for Hilbert space operators
Upper bounds for numerical radius inequalities involving off-diagonal operator matrices
Norm inequalities of positive operator matrices
Berezin number inequalities for operators
Some extensions of Berezin number inequalities on operators
A geometric approach to numerical radius inequalities
The weighted numerical radius
Sharp inequalities for the numerical radii of block operator matrices
Numerical radius inequalities for certain \(2\times 2\) operator matrices. II
Berezin symbol and invertibility of operators on the functional Hilbert spaces
Numerical radius inequalities for \(n \times n\) operator matrices
Inequalities involving Berezin norm and Berezin number
Refinements of some Berezin number inequalities and related questions
An introduction to the theory of reproducing kernel Hilbert spaces
Some Berezin number inequalities for operator matrices
Numerical radius inequalities for Hilbert space operators
More accurate numerical radius inequalities (I)
A novel numerical radius upper bounds for 2 × 2 operator matrices
A convex treatment of numerical radius inequalities
Improvements of Berezin number inequalities
Complete refinements of the Berezin number inequalities
COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
Spectral radius inequalities for Hilbert space operators
More accurate numerical radius inequalities (II)
Norm and numerical radius inequalities for Hilbert space operators