Curvature inequalities for operators of the Cowen-Douglas class

被引：5
|
作者：
Wang, Kai [1 ,3 ]
Zhang, Genkai [2 ,4 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Chalmers & Gothenburg Univ, Dept Math Sci, S-41296 Gothenburg, Sweden
[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[4] Chalmers & Gothenburg Univ, Dept Math Sci, S-41296 Gothenburg, Sweden
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2017年 / 222卷 / 01期
关键词：
EXTREMAL PROBLEMS; BOUNDED MODULES; BUNDLES;
D O I：
10.1007/s11856-017-1590-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let T be an operator tuple in the Cowen-Douglas class B (n) (Omega) for Omega aS, C (m) . The kernels Ker(T - w) (l) , for w a Omega, l = 1, 2, center dot center dot center dot, define Hermitian vector bundles E (T) (l) over Omega. We prove certain negativity of the curvature of E (T) (l) . We also study the relation between certain curvature inequality and the contractive property of T when Omega is a planar domain.
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页码：279 / 296
页数：18
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