Hermitian weighted composition operators and Bergman extremal functions

DOI10.1007/s11785-011-0185-7zbMath1296.47025OpenAlexW2087172483MaRDI QIDQ371759

Eungil Ko, Gajath Gunatillake, Carl C. Cowen

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0185-7

zbMATH Keywords

Hermitian operatorspectral measureweighted Bergman spacecomposition operatorweighted Hardy spaceweighted composition operatornormal operatorBergman inner functionprojected kernel function

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Bergman spaces and Fock spaces (30H20)

Related Items (19)

Composition operators on Hilbert spaces of entire functions with analytic symbols ⋮ OnT_u-Toeplitzness of weighted composition operators onH² ⋮ Unitary equivalence of composition C\(^*\)-algebras on the Hardy and weighted Bergman spaces ⋮ Some essentially normal weighted composition operators on the weighted Bergman spaces ⋮ On similarity and reducing subspaces of the \(n\)-shift plus certain weighted Volterra operator ⋮ Normaloid weighted composition operators on \(H^2\) ⋮ Reproducing kernel Hilbert spaces supporting nontrivial Hermitian weighted composition operators ⋮ Spectrum of some weighted composition operators ⋮ Self-adjoint, unitary, and normal weighted composition operators in several variables ⋮ Hermitian composition operators on Hardy-Smirnov spaces ⋮ Complex symmetric weighted composition operators on \(H^2(\mathbb{D})\) ⋮ Generalized multiplication operators on weighted Hardy spaces ⋮ Self-commutators of invertible weighted composition operators on ⋮ Invariant subspaces of the shift plus complex Volterra operator ⋮ Numerical ranges of weighted composition operators ⋮ Complex symmetric composition operators on weighted Hardy spaces ⋮ Normal and isometric weighted composition operators on the Fock space ⋮ Which Weighted Composition Operators are Complex Symmetric? ⋮ Commutators of weighted composition operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new class of operators and a description of adjoints of composition operators
• Normal weighted composition operators on the Hardy space
• Semigroups of linear operators and applications to partial differential equations
• Weighted composition semigroups on Hardy spaces
• Linear fractional composition operators on \(H^ 2\)
• An analytic Toeplitz operator that commutes with a compact operator and a related class of Toeplitz operators
• Semicocycles and weighted composition semigroups on \(H^ p\)
• The root operator on invariant subspaces of the Bergman space
• Cyclic inner functions in the Bergman spaces and weak outer functions in \(H^ p\), \(0<p<1\)
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Hermitian weighted composition operators on $H^{2}$
• Spectrum of a compact weighted composition operator
• Linear relations in the Calkin algebra for composition operators
• Cyclic elements in some spaces of analytic functions
• The Commutant of an Analytic Toeplitz Operator
• The Isometries of H^p

This page was built for publication: Hermitian weighted composition operators and Bergman extremal functions