Some problems on optimal approximants

DOI10.1090/CONM/679/13676zbMath1461.47003arXiv1510.05459OpenAlexW2151458577MaRDI QIDQ5351824

Daniel Seco

Publication date: 30 August 2017

Published in: Recent Progress on Operator Theory and Approximation in Spaces of Analytic Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05459

zbMATH Keywords

optimal approximationcyclicityDirichlet-type spacesforward shift

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Cyclic vectors, hypercyclic and chaotic operators (47A16) Lists of open problems (00A27)

Related Items (1)

Remarks on Inner Functions and Optimal Approximants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cyclicity in reproducing kernel Hilbert spaces of analytic functions
• Invariant subspaces in Banach spaces of analytic functions
• Cyclicity in Dirichlet-type spaces and extremal polynomials
• Cyclicity in Dirichlet-type spaces and extremal polynomials II: Functions on the bidisk
• Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems
• Cyclic polynomials in two variables
• Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants
• Cyclic Vectors in the Dirichlet Space
• Some Examples of Cyclic Vectors in the Dirichlet Space
• A Primer on the Dirichlet Space
• Bounded Analytic Functions

This page was built for publication: Some problems on optimal approximants