Composition operators, convexity of their Berezin range and related questions
DOI10.1007/s11785-023-01432-xzbMath1529.47045arXiv2302.12547OpenAlexW4387774109MaRDI QIDQ6068143
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Publication date: 10 November 2023
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.12547
Hardy spaceBergman spaceconvexityBerezin transformcomposition operatorBerezin rangeBerezin setBerezin set mapping theorem
Linear composition operators (47B33) Convex sets in (2) dimensions (including convex curves) (52A10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Cites Work
- On the Jensen functional and superquadraticity
- Reproducing kernels and Berezin symbols techniques in various questions of operator theory
- A reproducing kernel thesis for operators on Bergman-type function spaces
- Popoviciu's inequality for functions of several variables
- On the range of the Berezin transform
- Toeplitz operators and the Berezin transform on \(H^ 2\)
- Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces
- Convexity of the Berezin range
- Berezin symbol and invertibility of operators on the functional Hilbert spaces
- An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
- Shorter Notes: The Toeplitz-Hausdorff Theorem for Linear Operators
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