4.2 Article

On the selfcommutator of automorphic composition operators

期刊

出版社

INDIAN NAT SCI ACAD
DOI: 10.1007/s13226-022-00251-8

关键词

Selfcommutator; Composition operator; Spectrum; Adjoint

向作者/读者索取更多资源

The focus of this paper is on the selfcommutator and the anti selfcommutator of an automorphic composition operator. The adjoint of a composition operator induced by a conformal automorphism is computed, providing a starting point for the analysis of the selfcommutator and the anti selfcommutator. Additionally, the spectrum and norm of these operators for involution automorphism phi are computed.
Our principal interest here is in the selfcommutator and the anti selfcommutator of an automorphic composition operator C-phi which denoted by [C-phi*; C-phi] and {C-phi*; C-phi}, and defined by [C-phi*; C-phi] = C-phi*C-phi - C phi C phi* and {C-phi*; C-phi} = C-phi*C-phi + C phi C phi* respectively. In this work, we compute an explicit expression for the adjoint of a composition operator on H-2 induced by a conformal automorphism and the starting point for our analysis of [C-phi*; C-phi] and {C-phi*; C-phi} is this formula. Also, we compute the spectrum and norm of [C-phi*; C-phi] and {C-phi*; C-phi} for involution automorphism phi.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.2
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据