Self-adjoint, unitary, and normal weighted composition operators in several variables

DOI10.1016/j.jmaa.2012.05.065zbMath1266.47043arXiv1207.5980OpenAlexW2025005043MaRDI QIDQ448259

Trieu Le

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5980

zbMATH Keywords

reproducing kernel Hilbert spacesweighted composition operatorsnormal operatorsself-adjoint operators

Mathematics Subject Classification ID

Linear composition operators (47B33)

Related Items (29)

Invertible weighted composition operators preserve frames on Dirichlet type spaces ⋮ Complex symmetric weighted composition operators in several variables ⋮ Unitary equivalence of composition C\(^*\)-algebras on the Hardy and weighted Bergman spaces ⋮ Complex symmetry of composition operators induced by involutive ball automorphisms ⋮ Some essentially normal weighted composition operators on the weighted Bergman spaces ⋮ A class of normal weighted composition operators on the Fock space of \(\mathbb C^n\) ⋮ Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions ⋮ Real symmetric, unitary, and complex symmetric weighted composition operators on Bergman spaces of polydisk ⋮ Composition operators on Fock-type spaces ⋮ Unnamed Item ⋮ Co-isometric weighted composition operators on Hilbert spaces of analytic functions ⋮ Complex symmetric generalized weighted composition operators on Hilbert spaces of analytic functions ⋮ Isometric weighted composition operators on weighted Bergman spaces ⋮ Complex symmetric weighted composition operators on the Fock space in several variables ⋮ Unitary weighted composition operators on the Fock space of \(\mathbb C ^n\) ⋮ Normal weighted composition operators on weighted Dirichlet spaces ⋮ Complex symmetric weighted composition operators on \(\mathcal{H}_\gamma(\mathbb{D})\) ⋮ Spectrum of normal weighted composition operators on the Fock space over \(\mathbb{C}^N\) ⋮ Complex symmetry of weighted composition operators in several variables ⋮ Complex symmetric weighted composition operators on Dirichlet spaces and Hardy spaces in the unit ball ⋮ Complex symmetric composition operators on weighted Hardy spaces ⋮ Norms of weighted composition operators with automorphic symbol ⋮ Norms of hyponormal weighted composition operators on the Hardy and weighted Bergman spaces ⋮ Essentially hyponormal weighted composition operators on the Hardy and weighted Bergman spaces ⋮ Normal and isometric weighted composition operators on the Fock space ⋮ Which multiplication operators are surjective isometries? ⋮ Weighted composition operators that preserve frames ⋮ Operators commuting with self-adjoint weighted composition operators on H² ⋮ Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces

Cites Work

• Hermitian weighted composition operators and Bergman extremal functions
• A new class of operators and a description of adjoints of composition operators
• Norms and spectral radii of linear fractional composition operators on the ball
• Weighted composition operators on \(H^{2}\) and applications
• Normal weighted composition operators on the Hardy space
• An analytic Toeplitz operator that commutes with a compact operator and a related class of Toeplitz operators
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Weighted composition operators between different Hardy spaces
• Hermitian weighted composition operators on $H^{2}$
• Theory of Bergman Spaces in the Unit Ball of C^n
• The Commutant of an Analytic Toeplitz Operator
• WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
• The Isometries of H^p
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