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Curvatures and Similarity of Operators with Holomorphic Eigenvectors

Mitsuru Uchiyama
Transactions of the American Mathematical Society
Vol. 319, No. 1 (May, 1990), pp. 405-415
DOI: 10.2307/2001351
Stable URL: http://www.jstor.org/stable/2001351
Page Count: 11
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Curvatures and Similarity of Operators with Holomorphic Eigenvectors
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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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