由巴拿赫空间上的多项式序列生成的解析函数代数的谱，以及谱上的运算

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2023-06-20 DOI:10.15330/cmp.15.1.104-119

Vasylyshyn S.I

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引用次数: 2

摘要

本文研究了复Banach空间上由一组代数无关的可数齐次多项式生成的有界型完整函数的fr代数的子代数$X.$，研究了$X = \ell_1.$情况下该子代数的谱，并考虑了在$p \geq 1$情况下$X = \ell_p$情况下该子代数的谱上可执行的一些移位型运算。

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

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 $X.$ We investigate the spectrum of this subalgebra in the case $X = \ell_1.$ We also consider some shift type operations that can be performed on the spectrum of this subalgebra in the case $X = \ell_p$ with $p \geq 1$.

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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks