Discontinuity of the Lempert function of the spectral ball

DOI10.1090/S0002-9939-10-10269-XzbMath1196.32013arXiv0811.3093OpenAlexW2075535372MaRDI QIDQ3574815

Nguyen Van Trao, Pascal J. Thomas

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3093

zbMATH Keywords

continuitydiscontinuityLempert functionspectral ball

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (4)

Lifting maps from the symmetrized polydisc in small dimensions ⋮ Kobayashi-Royden pseudometric versus Lempert function ⋮ Green functions of the spectral ball and symmetrized polydisk ⋮ Separate continuity of the Lempert function of the spectral ball

Cites Work

• Discontinuity of the Lempert function and the Kobayashi-Royden metric of the spectral ball
• Pluricomplex Green and Lempert functions for equally weighted poles
• The two-point spectral Nevanlinna--Pick problem.
• Geometry of the symmetrized polydisc
• The hyperbolic geometry of the symmetrized bidisc
• Some new observations on interpolation in the spectral unit ball
• Matrix Analysis
• On the spectral Nevanlinna–Pick problem
• The Lempert function of the symmetrized polydisc in higher dimensions is not a distance
• On the zero set of the Kobayashi–Royden pseudometric of the spectral unit ball
• THE $2\times 2$ SPECTRAL NEVANLINNA–PICK PROBLEM
• Invariant distances and metrics in complex analysis

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