Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class
Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class
The curvature š¯’¦T(w) of a contraction T in the Cowenā€“Douglas class B1(š¯”») is bounded above by the curvature š¯’¦S*(w) of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. In this paper, we characterize a slightly smaller class of contractions using a ā€¦