The convolution operation on the spectra of algebras of symmetric analytic functions

被引：31
|
作者：
Chernega, Irina [2 ]
Galindo, Pablo [1 ]
Zagorodnyuk, Andriy [3 ]
机构：
[1] Univ Valencia, Dept Anal Matemat, Burjassot 46100, Valencia, Spain
[2] Ukrainian Acad Sci, Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine
[3] Vasyl Stefanyk Precarpathian Natl Univ, UA-76000 Ivano Frankvisk, Ukraine
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 02期
关键词：
Polynomials and analytic functions on Banach spaces; Symmetric polynomials; Spectra of algebras; Entire functions of exponential type;
D O I：
10.1016/j.jmaa.2012.04.087
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the spectrum of the algebra of bounded symmetric analytic functions on l(p), 1 <= p < + infinity with the symmetric convolution operation is a commutative semigroup with the cancellation law for which we discuss the existence of inverses. For p = 1, a representation of the spectrum in terms of entire functions of exponential type is obtained which allows us to determine the invertible elements. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：569 / 577
页数：9
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