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

Keywords:
-homogeneous polynomial, analytic function, spectrum of an algebra
Published online:
2023-06-20
Abstract
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 We investigate the spectrum of this subalgebra in the case We also consider some shift type operations that can be performed on the spectrum of this subalgebra in the case with .
How to Cite
(1)
Vasylyshyn, S. Spectra of Algebras of Analytic Functions, Generated by Sequences of Polynomials on Banach Spaces, and Operations on Spectra. Carpathian Math. Publ. 2023, 15, 104-119.