Discontinuity of the Lempert function and the Kobayashi--Royden metric of the spectral ball

Nikolai Nikolov (1) , Pascal J. Thomas (2) , Wlodzimierz Zwonek (3)

1 Institute of Mathematics and Informatics
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 Instytut Matematyki

Some results on the discontinuity properties of the Lempert function and the Kobayashi pseudometric in the spectral ball are given.

Mots clés: invariant metrics; symmetrized polydisk

Domaines: Variables complexes [math.CV]

Nikolai Nikolov, Pascal J. Thomas, Wlodzimierz Zwonek. Discontinuity of the Lempert function and the Kobayashi--Royden metric of the spectral ball. Integral Equations and Operator Theory, 2008, 61 (3), pp.401-412. ⟨hal-00321241⟩