Commutants of finite Blaschke product multiplication operators

DOI10.1090/conm/638/12805zbMath1353.47047OpenAlexW4232725486MaRDI QIDQ2827661

Carl C. Cowen, Rebecca G. Wahl

Publication date: 20 October 2016

Published in: Invariant Subspaces of the Shift Operator (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/638/12805

zbMATH Keywords

weighted composition operatoranalytic Toeplitz operatorshift-invariant subspacemultiple-valued weighted composition operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) 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)

Related Items (7)

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 ⋮ Reducing subspaces of multiplication operators with the symbol \(\alpha z^k+\beta w^l\) on \(L_a^2 (\mathbb D^2)\) ⋮ Commutants and complex symmetry of finite Blaschke product multiplication operator in ⋮ 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

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