Similarity of operators and geometry of eigenvector bundles
Copyright policy )Similarity of operators and geometry of eigenvector bundles
We characterize the contractions that are similar to the backward shift in the Hardy space $H^2$. This characterization is given in terms of the geometry of the eigenvector bundles of the operators.
18 pages
- Autonomous University of Barcelona Spain
- Brown University United States
Mathematics - Differential Geometry, backward shift, Reproducing kernel, Global differential geometry of Hermitian and Kählerian manifolds, Similarity, FOS: Mathematics, Carleson measure, Spectrum, resolvent, Complex Variables (math.CV), similarity, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Hardy spaces, Mathematics - Complex Variables, reproducing kernel, curvature of the eigenvector bundle, 30D55, 53C55, Functional Analysis (math.FA), Mathematics - Functional Analysis, 47A99, 47B32, Curvature of the eigenvector bundle, Differential Geometry (math.DG), 47A99 (Primary), 47B32, 30D55, 53C55 (Secondary), Backward shift
Mathematics - Differential Geometry, backward shift, Reproducing kernel, Global differential geometry of Hermitian and Kählerian manifolds, Similarity, FOS: Mathematics, Carleson measure, Spectrum, resolvent, Complex Variables (math.CV), similarity, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Hardy spaces, Mathematics - Complex Variables, reproducing kernel, curvature of the eigenvector bundle, 30D55, 53C55, Functional Analysis (math.FA), Mathematics - Functional Analysis, 47A99, 47B32, Curvature of the eigenvector bundle, Differential Geometry (math.DG), 47A99 (Primary), 47B32, 30D55, 53C55 (Secondary), Backward shift
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