The metrics of Hermitian holomorphic vector bundles and the similarity of Cowen-Douglas operators

被引：1
作者：
Ji, Kui [1 ]
Ji, Shanshan [1 ]
机构：
[1] Hebei Normal Univ, Dept Math Sci, Shijiazhuang 050016, Hebei, Peoples R China
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2022年 / 53卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Cowen-Douglas operator; Similarity equivalence; Holomorphic vector bundle; CURVATURE;
D O I：
10.1007/s13226-021-00168-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we investigate the similarity of Cowen-Douglas operators with index one in terms of the ratio of metrics of the corresponding holomorphic bundles. For the case of index two, we give some sufficient and necessary conditions for the similarity of M-z* circle plus M-z* by using the ratio of determinants of the metrics, where M-z is the multiplication operator of weighted Bergman spaces.
引用
收藏
页码：736 / 749
页数：14
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