Hilbert-schmidtness of some finitely generated submodules in \(H^2(\mathbb{D}^2)\)
From MaRDI portal
Publication:1635605
DOI10.1016/j.jmaa.2018.05.021OpenAlexW2802085762MaRDI QIDQ1635605
Shuaibing Luo, Rongwei Yang, Kei-Ji Izuchi
Publication date: 31 May 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.08880
fringe operatorHardy space over the bidiskFredholm indexsubmodulecore operatorHilbert-Schmidt submodule
Related Items (4)
Ranks of fringe operators on finite Rudin type invariant subspaces ⋮ Fredholm index of 3-tuple of restriction operators and the pair of fringe operators for submodules in \(H^2(\mathbb{D}^3)\) ⋮ Hilbert-Schmidtness of Submodules in $H^2 (\mathbb{D}^2 )$ Containing $θ(z)−\varphi (w)$ ⋮ \(N_{\psi}\)-type quotient modules in \(H^2(\mathbb{D}^n)\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On two variable Jordan block. II
- \(N_\phi\)-type quotient modules on the torus
- Maximal inner spaces and Hankel operators on the Bergman space
- Beurling's theorem for the Bergman space
- Beurling's phenomenon in two variables
- The core operator and congruent submodules
- Wold-type decompositions and wandering subspaces for operators close to isometries
- SPLITTING INVARIANT SUBSPACES IN THE HARDY SPACE OVER THE BIDISK
- An index formula for the two variable Jordan block
- Multiplication operators on the Bergman space via the Hardy space of the bidisk
- Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
- Fredholm indices of some fringe operators over the bidisk
- The core function of submodules over the bidisk
- On the index of invariant subspaces in spaces of analytic functions of several complex variables
- Operator theory in the Hardy space over the bidisk. III
This page was built for publication: Hilbert-schmidtness of some finitely generated submodules in \(H^2(\mathbb{D}^2)\)