On the Riccati equations

DOI10.1007/s00605-008-0542-4zbMath1148.47013OpenAlexW2023761141MaRDI QIDQ956676

Mubariz T. Garayev

Publication date: 25 November 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0542-4

zbMATH Keywords

Hardy spacesolvabilityRiccati equationToeplitz operatorsBerezin symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Equations involving linear operators, with operator unknowns (47A62)

Related Items

Distance estimates, norm of Hankel operators and related questions ⋮ Reproducing kernels and Berezin symbols techniques in various questions of operator theory ⋮ Riccati equations and Toeplitz-Berezin type symbols on Dirichlet space of unit ball ⋮ Some properties of solutions to the Riccati equations in connection with Bergman spaces ⋮ On the solution of nonlinear operator equations and the invariant subspace ⋮ Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number ⋮ Toeplitz-Berezin-type symbols and solutions of some operator equations ⋮ Some results for Toeplitz operators on the Bergman space ⋮ Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces ⋮ Inequalities for the Berezin number of operators and related questions ⋮ Some results for operators on a model space ⋮ Reproducing kernels, Engliš algebras and some applications ⋮ Skew-symmetric and essentially unitary operators via Berezin symbols ⋮ On some problems for reproducing kernel Hilbert space operators via the Berezin transform

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• The Berezin transform and radial operators
• Removal of the resolvent-like energy dependence from interactions and invariant subspaces of a total Hamiltonian
• Ten problems in Hilbert space
• Existence and uniqueness of contractive solutions of some Riccati equations
• A new concept for block operator matrices: The quadratic numerical range

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