The trace of the curvature determines similarity
Volume 236 / 2017
Studia Mathematica 236 (2017), 193-200
MSC: Primary 47C15; Secondary 47B37, 47B48, 47L40.
DOI: 10.4064/sm8588-9-2016
Published online: 14 December 2016
Abstract
We prove that the quantity that appears in a recent similarity characterization for Cowen–Douglas operators is the trace of the curvature of the eigenvector bundle. This gives the first geometric interpretation of the similarity of operators.
