On the problem of smooth approximations in \(\mathcal{H}(b)\) and connections to subnormal operators

DOI10.1016/j.jfa.2022.109803OpenAlexW4311764025MaRDI QIDQ2112764

Adem Limani, Bartosz Malman

Publication date: 11 January 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.08629

zbMATH Keywords

approximationsde Branges-Rovnyak spacessubnormal operators

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) de Branges-Rovnyak spaces (30H45)

Related Items (2)

Thomson decompositions of measures in the disk ⋮ Constructions of some families of smooth Cauchy transforms

Cites Work

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• The problem of simultaneous approximation and removal of singularities of Cauchy-type integrals
• Cyclic inner functions in the Bergman spaces and weak outer functions in \(H^ p\), \(0<p<1\)
• Density of disk algebra functions in de Branges-Rovnyak spaces
• An abstract approach to approximation in spaces of pseudocontinuable functions
• Mean-Square Approximation by Polynomials on the Unit Disk
• The Theory ofH(b) Spaces

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