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...

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Vydáno v:Symmetry (Basel) Ročník 17; číslo 11; s. 1974
Hlavní autoři: Kravtsiv, Viktoriia, Zagorodnyuk, Andriy
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.11.2025
Témata:
Algebra
Analytic functions
Banach spaces
Mathematical analysis
Polynomials
Variables
ISSN:2073-8994, 2073-8994
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:2073-8994
2073-8994
DOI:10.3390/sym17111974