Multiplication by finite Blaschke factors on a general class of Hardy spaces

DOI10.1007/s43036-022-00222-0OpenAlexW4297326076MaRDI QIDQ2095790

Niteesh Sahni, Apoorva Singh

Publication date: 15 November 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08385

zbMATH Keywords

Hardy spaceLebesgue spaceinvariant subspaceinner-outer factorizationrotationally symmetric normBlaschke factornormalized gauge norm

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Banach spaces of continuous, differentiable or analytic functions (46E15) Hardy spaces (30H10) Operators on complex function spaces (47B91)

Related Items

Helson-Lowdenslager and de Branges type theorems in the setting of continuous rotationally symmetric norms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariance under bounded analytic functions: generalizing shifts
• A general vector-valued Beurling theorem
• Translation invariant spaces
• Nevanlinna-Pick interpolation for \({\mathbb{C}}+BH^\infty\)
• de Branges spaces contained in some Banach spaces of analytic functions
• A general Beurling-Helson-Lowdenslager theorem on the disk
• Doubly invariant subspaces
• On two problems concerning linear transformations in Hilbert space
• A Helson-Lowdenslager-deBranges Theorem in 𝐿²
• A finite multiplicity Helson–Lowdenslager–de Branges theorem
• Shifts on Hilbert spaces.
• Lax-Halmos Type Theorems in H^p Spaces
• A constrained Nevanlinna-Pick interpolation problem
• Multiplication Invariant Subspaces of Hardy Spaces
• Simply invariant subspaces