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Discontinuity of the Lempert Function and the Kobayashi-Royden Metric of the Spectral Ball |
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| Authors: | Nikolai Nikolov Pascal J Thomas Włodzimierz Zwonek |
| Institution: | (1) Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria;(2) Laboratoire Emile Picard, UMR CNRS 5580, Université Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex, France;(3) Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland |
| Abstract: | Some results on the discontinuity properties of the Lempert function and the Kobayashi pseudometric in the spectral ball are given. This work was initialized during the stay of the first and second named authors at the Jagiellonian University, Kraków in October, 2006, supported by the EGIDE program. They wish to thank both institutions. The third author was supported by the KBN research grant No. 1 PO3A 005 28. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 32F45 Secondary 32A07 |
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