Sharp Schwarz-type lemmas for the spectral unit ball

Simple item page
dc.creatorBharali, Gautam
dc.date2006-08-07
dc.date.accessioned2026-07-07T07:21:29Z
dc.date.available2026-07-07T07:21:29Z
dc.descriptionWe provide generalisations of two Schwarz-type lemmas -- the first a result of Globevnik and the other due to Ransford and White -- for holomorphic mappings into the spectral unit ball. The first concerns mappings of the unit disc in C into the spectral unit ball, while the second concerns self- mappings. The aforementioned results apply to holomorphic mappings that map the origin to the origin. We extend these results to general holomorphic mappings into the spectral unit ball. We also show that our results are sharp.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0608177
dc.identifierhttp://arxiv.org/abs/math/0608177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115317
dc.subjectComplex Variables
dc.subject30C80; 32F45
dc.titleSharp Schwarz-type lemmas for the spectral unit ball
dc.typetext

Files

Collections

arXiv