Curvature inequalities for operators of the Cowen-Douglas class
Journal article, 2017

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.

extremal problems

bounded modules

bundles

Author

Kai Wang

Fudan University

Genkai Zhang

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Israel Journal of Mathematics

0021-2172 (ISSN)

Vol. 222 1 279-296

Subject Categories

Mathematics

DOI

10.1007/s11856-017-1590-z

More information

Created

12/28/2017