Spectra of algebras of analytic functions, generated by sequences of polynomials on Banach spaces, and operations on spectra

We consider the subalgebra of the Fréchet algebra of entire functions of bounded type, generated by a countable set of algebraically independent homogeneous polynomials on the complex Banach space $X.$ We investigate the spectrum of this subalgebra in the case $X = \ell_1.$ We also consider some shi...

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Bibliographic Details
Main Author: S.I. Vasylyshyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2023-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/6800