Topology on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$

It is known that the so-called elementary symmetric polynomials $R_n(x) = \int_{[0,1]}(x(t))^n\,dt$ form an algebraic basis in the algebra of all symmetric continuous polynomials on the complex Banach space $L_\infty,$ which is dense in the Fr\'{e}chet algebra $H_{bs}(L_\infty)$ of all entire s...

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Bibliographic Details
Main Author: T.V. Vasylyshyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2017-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1443