Reducing subspaces of multiplication operators on function spaces

DOI10.1007/s11766-013-3202-yzbMath1299.47056OpenAlexW2087002355MaRDI QIDQ2016922

Kunyu Guo, Hansong Huang

Publication date: 30 June 2014

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-013-3202-y

zbMATH Keywords

von Neumann algebracommutantBlaschke productreducing subspaceholomorphic covering map

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (4)

Reducing subspaces of tensor products of weighted shifts ⋮ Reducing subspaces of multiplication operators with the symbol \(\alpha z^k+\beta w^l\) on \(L_a^2 (\mathbb D^2)\) ⋮ On some properties of Cowen-Douglas class of operators ⋮ Multiplication operators defined by a class of polynomials on \({L_a^2(\mathbb{D}^2)}\)

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