Polynomial approach to cyclicity for weighted \(\ell^p_A\)

DOI10.1007/s43037-020-00085-8OpenAlexW3091465210MaRDI QIDQ2218271

Daniel Seco, Roberto Téllez

Publication date: 15 January 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02130

zbMATH Keywords

analytic function spacescyclic functionsoptimal polynomial approximants

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Cyclic vectors, hypercyclic and chaotic operators (47A16) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (6)

Some properties of composition-differentiation operators ⋮ Optimal polynomial approximants in \(L^p\) ⋮ Zeros of optimal polynomial approximants in \(\ell_A^p\) ⋮ An optimal approximation problem for free polynomials ⋮ A survey of optimal polynomial approximants, applications to digital filter design, and related open problems ⋮ Boundary behavior of optimal polynomial approximants

Uses Software

• mctoolbox

Cites Work

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• Cyclicity in reproducing kernel Hilbert spaces of analytic functions
• Mathematics for the analysis of algorithms.
• Functional analysis, Sobolev spaces and partial differential equations
• Boundary behavior of optimal polynomial approximants
• Cyclicity in Dirichlet-type spaces and extremal polynomials
• Cyclic Vectors in the Dirichlet Space
• Accuracy and Stability of Numerical Algorithms
• Inner functions and zero sets for ℓ^{𝑝}_{𝐴}
• A Primer on the Dirichlet Space
• Multipliers of sequence spaces

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