Discontinuity of the Lempert function of the spectral ball
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- by Pascal J. Thomas and Nguyen Van Trao PDF
- Proc. Amer. Math. Soc. 138 (2010), 2403-2412 Request permission
Abstract:
We give some further criteria for continuity or discontinuity of the Lempert function of the spectral ball $\Omega _n$, with respect to one or both of its arguments, in terms of cyclicity of the matrices involved.References
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Additional Information
- Pascal J. Thomas
- Affiliation: Institut de Mathématiques de Toulouse, Université de Toulouse, UPS, INSA, UT1, UTM, F-31062 Toulouse, France
- MR Author ID: 238303
- Email: pthomas@math.univ-toulouse.fr
- Nguyen Van Trao
- Affiliation: Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy str - Cau Giay, Hanoi, Vietnam
- Email: ngvtrao@yahoo.com
- Received by editor(s): March 6, 2009
- Received by editor(s) in revised form: September 5, 2009
- Published electronically: February 24, 2010
- Additional Notes: The initial version of this paper was written during the second author’s stay at the Paul Sabatier University, Toulouse, with the help of the Formath Vietnam program.
- Communicated by: Franc Forstneric
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2403-2412
- MSC (2010): Primary 32F45; Secondary 32U35
- DOI: https://doi.org/10.1090/S0002-9939-10-10269-X
- MathSciNet review: 2607870