厦门大学学报（自然科学版）2012，Vol.51Issue(2)：153-156,4.
Banach代数中上三角矩阵谱的填洞
The Filling-in-holes of Spectra of Upper Triangular Matrices over Banach Algebras
摘要
Abstract
Let A be a Banach algebra with an identity. When a,b∈ A are given, we denote by Mc a 2×2 upper triangular matrix of theform Mc=(a/c/o/b)∈M2(A),where c∈A. We prove that δ(a)∪δτ(b)=δτ(Mτ)∪W,where W is the union of certain of the holes in δτ(Mτ) which happen to be subsets of δτ(a) ∩δτ(b) if δτ=δ. If δτ-δ1, then W≌δτ(a)∩ (δ1(6)\δ1(a)) is included in the union of certain of the holes in δ1,(a) ,and it is also included in the union of certain of the holes in δ1(Mc). If δτ=δτ ,then W≌δ1(b) C\ (δτ(a)\δτ (6)) is included in the union of certain of the holes in δτ(b) ,and it is also included in the union of certain of the holes in δτ(Mc).关键词
Banach代数/上三角矩阵/谱Key words
Banach algebras/upper triangular matrices/spectra分类
数理科学引用本文复制引用
林丽琼..Banach代数中上三角矩阵谱的填洞[J].厦门大学学报（自然科学版）,2012,51(2):153-156,4.基金项目
国家自然科学基金项目(11171066) （11171066）
高等学校博士学科点专项科研基金项目(2010350311001) （2010350311001）
