Reducing subspaces of multiplication operators with the symbol \(\alpha z^k+\beta w^l\) on \(L_a^2 (\mathbb D^2)\)

DOI10.1007/s11425-015-4973-9zbMath1328.47042OpenAlexW1975246547MaRDI QIDQ892775

Hui Dan, Hansong Huang, Xudi Wang

Publication date: 12 November 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-4973-9

zbMATH Keywords

von Neumann algebramultiplication operatorsreducing subspaces

Mathematics Subject Classification ID

Linear operators in (C^*)- or von Neumann algebras (47C15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (10)

Reducing subspaces of tensor products of weighted shifts ⋮ Reducing subspaces for Toeplitz operator \(T_{z_1^{k_1} z_2^{k_2} + a\overline{z}_1^{l_1}\overline{z}_2^{l_2}}\) on the weighted Hardy space over the bidisk ⋮ Reducing subspaces for a class of non-analytic Toeplitz operators on the bidisk ⋮ The graded structure induced by operators on a Hilbert space ⋮ Multiplication operators defined by twisted proper holomorphic maps on Bergman spaces ⋮ Reducing subspaces of non-analytic Toeplitz operators on weighted Hardy and Dirichlet spaces of the bidisk ⋮ Joint reducing subspaces of multiplication operators and weight of multi-variable Bergman spaces ⋮ Reducing subspaces for a class of nonanalytic Toeplitz operators ⋮ Unnamed Item ⋮ Reducing subspaces for the product of a forward and a backward operator-weighted shifts

Cites Work

• Reducing subspaces for analytic multipliers of the Bergman space
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• The Commutants of Certain Analytic Toeplitz Operators
• The Commutant of a Class of Analytic Toeplitz Operators
• The Commutant of an Analytic Toeplitz Operator
• Reducing Subspaces for a Class of Multiplication Operators
• The Commutant of Analytic Toeplitz Operators
• Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk
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