Banach代数中有限序列的多项式谱

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 275-279.

Banach代数中有限序列的多项式谱

College of Mathematics and Physics, North China Electric Power University

收稿日期:2008-04-24 出版日期:2011-06-30 发布日期:2023-05-05
作者简介:YANG Chong(1979-), male, native of Linyin, Shandong, a lecturer of North China Electric Power University, engages in operator theory.
基金资助:
Supported by the Young Teachers Fund of North China Electric Power University(200611005)；

Polynomial Spectrum of a Finite Sequencein a Banach Algebra

College of Mathematics and Physics, North China Electric Power University

Received:2008-04-24 Online:2011-06-30 Published:2023-05-05
About author:YANG Chong(1979-), male, native of Linyin, Shandong, a lecturer of North China Electric Power University, engages in operator theory.
Supported by:
Supported by the Young Teachers Fund of North China Electric Power University(200611005)；

摘要/Abstract

摘要： In this paper, we discuss that the polynomial spectrum, relative spectrum and Spectrum of a Pair of Elements are all compact, so their resolvent sets are all open.

关键词: spectrum, Banach algebra, compact

Abstract: In this paper, we discuss that the polynomial spectrum, relative spectrum and Spectrum of a Pair of Elements are all compact, so their resolvent sets are all open.

Key words: spectrum, Banach algebra, compact

中图分类号:

O177.2

杨冲. Banach代数中有限序列的多项式谱[J]. 数学季刊, 2011, 26(2): 275-279.

YANG Chong. Polynomial Spectrum of a Finite Sequencein a Banach Algebra [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 275-279.

[1]	关庄丹. 群作用在复几何中的一些运用[J]. 数学季刊, 2023, 38(3): 254-275.
[2]	李建豪, 吴化璋. 环 F_p+vF_p+v²F_p 上常循环码的深度分布 [J]. 数学季刊, 2021, 36(4): 430-440.
[3]	贺维骄. 基本 C*-代数与 Haagerup 张量积[J]. 数学季刊, 2021, 36(4): 415-418.
[4]	李振辉, 许丽萍. 一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性[J]. 数学季刊, 2021, 36(1): 49-66.
[5]	周久儒. 具有加权p-Poincaré不等式的光滑测度空间上的消灭定理[J]. 数学季刊, 2020, 35(3): 311-319.
[6]	韩艳, 许绍元, 董延寿. 具有Banach代数的半序锥b-度量空间的一类改进[J]. 数学季刊, 2019, 34(1): 43-51.
[7]	李晓婷, 林福财. 几乎局部紧空间在什么条件下是超完全空间[J]. 数学季刊, 2016, 31(4): 430-434.
[8]	黄华平, 许绍元, 刘秋华, 明巍. 带有Banach代数的非正规锥度量空间中的公共不动点定理[J]. 数学季刊, 2016, 31(2): 155-161.
[9]	杨若松, 王力工. 具有s=5,6的距离整完全多部图[J]. 数学季刊, 2016, 31(2): 111-117.
[10]	张可秀 , 刘鑫 , 唐忠宝. 拓扑群的注记[J]. 数学季刊, 2016, 31(1): 82-86.
[11]	许娜. SchrÄodinger-Poisson 系统的基态解[J]. 数学季刊, 2016, 31(1): 9-18.
[12]	张红梅. 热方程紧差分格式重叠型区域分解算法[J]. 数学季刊, 2015, 30(4): 495-502.
[13]	刘光荣. 从混合范数空间到Bloch型空间的加权微分复合算子[J]. 数学季刊, 2015, 30(2): 236-243.
[14]	张明. 带有第二声的一维热扩散系统解的整体吸引子[J]. 数学季刊, 2014, 29(3): 457-464.
[15]	李克典. 锥度量空间的完备性[J]. 数学季刊, 2013, 28(4): 565-572.