Polynomial approach to cyclicity for weighted $\ell^p_A$

In previous works, an approach to the study of cyclic functions in reproducing kernel Hilbert spaces has been presented, based on the study of so called optimal polynomials approximants. In the present article, we extend such approach to the (non-Hilbert) case of spaces of analytic functions whose Taylor coefficients are in $\ell^p(\omega)$, for some weight $\omega$. We derive a characterization in such spaces of the cyclicity of polynomial functions and, when $1

Keywords:

• Analytic function
• Kernel (linear algebra)
• Polynomial
• taylor coefficients
• Hilbert space
• Pure mathematics
• Convergence (routing)
• Mathematical analysis
• Omega
• Mathematics

• Correction
• Source
• Cite
• Save
• Machine Reading By IdeaReader