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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Curvatures and similarity of operators with holomorphic eigenvectors


Author: Mitsuru Uchiyama
Journal: Trans. Amer. Math. Soc. 319 (1990), 405-415
MSC: Primary 47A45
MathSciNet review: 968421
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1990-0968421-4
PII: S 0002-9947(1990)0968421-4
Keywords: Curvature of holomorphic vector bundle, Szegà kernel, contraction, quasi-similar, similar, Hardy class, corona theorem, eigenvector, canonical model theory
Article copyright: © Copyright 1990 American Mathematical Society