杭州师范大学学报（自然科学版）2024，Vol.23Issue(2)：181-189,9.DOI:10.19926/j.cnki.issn.1674-232X.2022.07.042
Banach代数中反三角算子矩阵的Hirano逆
Hirano Inverse of Anti-triangular Operator Matrix in Banach Algebras
摘要
Abstract
This paper investigated Hirano inverse of anti-triangular operator matrix in Banach algebra.Let a∈AH,b∈AsD.Assuming that bDa=0,babπ=0,it was proven that [ab10] had Hirano inverse.Moreover,Hirano inverse of anti-triangular operator matrix under certain weak commutative conditions was studied.These results provided a new kind of operator matrix with tripotent and nilpotent decompositions.关键词
Hirano逆/三幂等元/幂零元/Banach代数Key words
Hirano inverse/tripotent/nilpotent/Banach algebra分类
数学引用本文复制引用
苟海博,陈焕艮..Banach代数中反三角算子矩阵的Hirano逆[J].杭州师范大学学报（自然科学版）,2024,23(2):181-189,9.基金项目
浙江省自然科学基金项目(LY21A010018). （LY21A010018）
