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

Abstract

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

arXiv commentAfter submitting this paper to a journal in January the authors received a paper by G. Bharali (see arXiv:0704.1966), where some of the problems are similar to that in our paper