Curvatures and similarity of operators with holomorphic eigenvectors

Uchiyama, Mitsuru

doi:10.1090/S0002-9947-1990-0968421-4

Curvatures and similarity of operators with holomorphic eigenvectors
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Trans. Amer. Math. Soc. 319 (1990), 405-415 Request permission

Abstract:

The curvature of the holomorphic vector bundle generated by eigenvectors of operators is estimated, and the necessary and sufficient conditions for contractions to be similar or quasi-similar with unilateral shifts are given.

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