Renyi Jian | AMiner学者主页

For a commuting n-tuple a = ( a 1 , … , a n ) a = ({a_1}, \ldots ,{a_n}) of elements of a unital C ∗ {C^ \ast } -algebra A \mathcal {A} , we establish a matricial identity linking the self-commutator of a to the 2 n − 1 × 2 n − 1 {2^{n - 1}} \times {2^{n - 1}} matrix a ^ \hat a that detects the Taylor invertibility of a. As a consequence, we obtain a simple proof of a result of D. Xia (Oper. Theory: Adv. Appl. 48 (1990), 423-448), which states that for commuting t-hyponormal n-tuples, σ T ( a ) = σ r ( a ) {\sigma _T}(a) = {\sigma _r}(a) .

1994PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（1994）引用：7

引用

AI阅读

作者统计

合作学者

合作机构

D-Core

合作者
学生
导师

Raúl E. Curto合作论文数Department of Mathematics, College of Liberal Arts and Sciences, University of Iowa1

相似学者

Raúl E. Curto

数据免责声明

页面数据均来自互联网公开来源、合作出版商和通过AI技术自动分析结果，我们不对页面数据的有效性、准确性、正确性、可靠性、完整性和及时性做出任何承诺和保证。若有疑问，可以通过电子邮件方式联系我们：report@aminer.cn

全面呈现 [Renyi Jian] 的学术影响力

深度挖掘高质量成果与权威引用，让优秀看得见

研究兴趣

暂无数据

论文（1）

专利

基金项目

按年份排序按引用量排序主题筛选期刊级别筛选合作者筛选合作机构筛选

1A Matricial Identity Involving the Self-Commutator of A Commuting N-Tuple

RE CURTO,R JIAN

For a commuting n-tuple a = ( a 1 , … , a n ) a = ({a_1}, \ldots ,{a_n}) of elements of a unital C ∗ {C^ \ast } -algebra A \mathcal {A} , we establish a matricial identity linking the self-commutator of a to the 2 n − 1 × 2 n − 1 {2^{n - 1}} \times {2^{n - 1}} matrix a ^ \hat a that detects the Taylor invertibility of a. As a consequence, we obtain a simple proof of a result of D. Xia (Oper. Theory: Adv. Appl. 48 (1990), 423-448), which states that for commuting t-hyponormal n-tuples, σ T ( a ) = σ r ( a ) {\sigma _T}(a) = {\sigma _r}(a) .