Curvatures and similarity of operators with holomorphic eigenvectors-Reference-Cited by-同舟云学术

Curvatures and similarity of operators with holomorphic eigenvectors

Published:1990 Issue:1 Volume:319 Page:405-415
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Uchiyama Mitsuru

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1990-319-01/S0002-9947-1990-0968421-4/S0002-9947-1990-0968421-4.pdf

Reference20 articles.

1. Contraction operators quasisimilar to a unilateral shift;Alexander, V. T.;Trans. Amer. Math. Soc.,1984

2. Mathematical Surveys, No. V;Bergman, Stefan,1970

3. A problem of Sz.-Nagy;van Casteren, Jan A.;Acta Sci. Math. (Szeged),1980

4. Complex geometry and operator theory;Cowen, M. J.;Acta Math.,1978

5. Operators possessing an open set of eigenvalues;Cowen, M. J.,1983

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Holomorphic Spectral Theory: A Geometric Approach;Complex Analysis and Operator Theory;2022-06-08

2. On the properties of canonical solution operator to $${\bar{\partial }}$$ restricted to Dirichlet space;Complex Analysis and its Synergies;2021-04-26

3. An Introduce to Curvature Inequalities for Operators in the Cowen–Douglas Class;Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology;2020

4. Curvature inequalities and extremal operators;Illinois Journal of Mathematics;2019-08-01

5. Curvature Formulas of Holomorphic Curves on $$C^*$$ C ∗ -Algebras and Cowen–Douglas Operators;Complex Analysis and Operator Theory;2019-01-09