Descriptions of Spectra of Algebras of Bounded-Type Block-Symmetric Analytic Functions

This paper is devoted to the study of the algebra of bounded-type block-symmetric analytic functions on the Banach space l1(Cs). In particular, it presents a description of the spectrum of this algebra in terms of exceptional characters ϕα and characters that can be associated with exponential-type...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry (Basel) Vol. 17; no. 11; p. 1974
Main Authors: Kravtsiv, Viktoriia, Zagorodnyuk, Andriy
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.11.2025
Subjects:
Algebra
Analytic functions
Banach spaces
Mathematical analysis
Polynomials
Variables
ISSN:2073-8994, 2073-8994
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is devoted to the study of the algebra of bounded-type block-symmetric analytic functions on the Banach space l1(Cs). In particular, it presents a description of the spectrum of this algebra in terms of exceptional characters ϕα and characters that can be associated with exponential-type functions of several variables with plane zeros. Due to this representation, it is proven that every element of the spectrum is a convolution of an exceptional character with a point evaluation functional.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2073-8994
2073-8994
DOI:10.3390/sym17111974