Multiplication operators defined by a class of polynomials on \({L_a^2(\mathbb{D}^2)}\)

DOI10.1007/s00020-014-2176-3zbMath1302.47061arXiv1404.5414OpenAlexW1677709933MaRDI QIDQ484814

Hansong Huang, Hui Dan

Publication date: 7 January 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5414

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

Reducing subspaces of tensor products of weighted shifts ⋮ 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 ⋮ Reducing subspaces of multiplication operators with the symbol \(\alpha z^k+\beta w^l\) on \(L_a^2 (\mathbb D^2)\) ⋮ Commutant of multiplication operators in weighted Bergman spaces on polydisk ⋮ 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 ⋮ Reducing subspaces of some multiplication operators on the Bergman space over polydisk

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