Intertwining relations and extended eigenvalues for analytic Toeplitz operators

zbMath1174.37003arXiv0801.1972MaRDI QIDQ733370

Paul S. Bourdon, Joel H. Shapiro

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1972

Mathematics Subject Classification ID

Linear composition operators (47B33) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (9)

Toeplitz-Berezin-type symbols and solutions of some operator equations ⋮ Compact intertwining relations for composition operators between Morrey spaces and Bloch-type spaces ⋮ Invariant subspaces and Deddens algebras ⋮ Toeplitzness of products of composition operators and their adjoints ⋮ Reproducing kernels, Engliš algebras and some applications ⋮ Extended eigenvalues for bilateral weighted shifts ⋮ Extended eigenvalues of composition operators ⋮ Extended eigenvalues for Cesàro operators ⋮ Subnormality of the weighted Ces\`aro operator $ C_h \in l^2(h) $

Cites Work

• Compact operators without extended eigenvalues
• On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions
• Commutants and the operator equation \(AX=\lambda XA\)
• Composition operators and classical function theory
• On reproducing subspaces of Volterra operators
• Hyperinvariant subspaces and extended eigenvalues
• On the extended eigenvalues of some Volterra operators
• How and Why to Solve the Operator Equation AX −XB = Y
• Analytic Toeplitz and Composition Operators
• The Commutant of Analytic Toeplitz Operators
• On extended eigenvalues and extended eigenvectors of some operator classes
• A Generalization of a Theorem of Frostman.
• Intertwining analytic Toeplitz operators
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