The Commutant of a Class of Analytic Toeplitz Operators

DOI10.2307/2373929zbMath0372.47018OpenAlexW2059917817MaRDI QIDQ4150244

James E. Thomson

Publication date: 1977

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

Full work available at URL: https://doi.org/10.2307/2373929

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

Reducibility for a class of analytic multipliers on the Dirichlet space ⋮ On reducing submodules of Hilbert modules with \(\mathfrak{S}_n\)-invariant kernels ⋮ Reducing submodules of Hilbert modules and Chevalley-Shephard-Todd theorem ⋮ The Commutant of an Analytic Toeplitz Operator ⋮ Unitary equivalence of multiplication operators on the Bergman spaces of polygons ⋮ Multiplication by a finite Blaschke product on weighted Bergman spaces: commutant and reducing subspaces ⋮ Reducibility for a class of analytic multipliers on Sobolev disk algebra ⋮ Geometric constructions of thin Blaschke products and reducing subspace problem ⋮ Von Neumann algebras generated by multiplication operators on the weighted Bergman space: a function-theory view into operator theory ⋮ Restriction of Toeplitz operators on their reducing subspaces ⋮ Multiplication operators on the Bergman space via analytic continuation ⋮ Multiplication operators defined by twisted proper holomorphic maps on Bergman spaces ⋮ Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces ⋮ Reducing subspaces of multiplication operators with the symbol \(\alpha z^k+\beta w^l\) on \(L_a^2 (\mathbb D^2)\) ⋮ An analytic Toeplitz operator that commutes with a compact operator and a related class of Toeplitz operators ⋮ Commutants of Toeplitz operators on the ball and annulus ⋮ Multiplication operators on Hardy and weighted Bergman spaces over planar regions ⋮ The commutants of analytic Toeplitz operators for several complex variables ⋮ Reducibility and unitarily equivalence for a class of analytic multipliers on the Dirichlet space ⋮ Reducing subspaces for analytic multipliers of the Bergman space ⋮ Bundle shifts and Toeplitz operators on \(\mathcal{N}_{\psi}\)-type quotient modules of the tridisc ⋮ Multiplication operators defined by a class of polynomials on \({L_a^2(\mathbb{D}^2)}\) ⋮ Joint reducing subspaces of multiplication operators and weight of multi-variable Bergman spaces ⋮ Multiplication operators on the Bergman spaces of polygons ⋮ Reducing subspaces for a class of nonanalytic Toeplitz operators ⋮ Totally abelian Toeplitz operators and geometric invariants associated with their symbol curves ⋮ Similarity of analytic Toeplitz operators on the Bergman spaces ⋮ Reducibility and unitary equivalence of analytic multipliers on Sobolev disk algebra ⋮ Reducing subspaces of multiplication operators on function spaces ⋮ On a problem of Axler, Cuckovic and Rao ⋮ Reducing subspaces of analytic Toeplitz operators on the Bergman space of the annulus ⋮ Multiplication operators on the Bergman space via the Hardy space of the bidisk ⋮ Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols ⋮ Analytic Toeplitz operators, distinguished varieties and boundary behavior of symbols