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Root-Approximability of the Group of Automorphisms of the Unit Ball in \(\mathbf{\mathbb {C}}^{n}\)

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Abstract

In this paper we prove that the group of all biholomorphic maps from the open unit ball in \(\mathbb {C}^n\) onto itself endowed with the compact-open topology is a root-approximable topological group.

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Acknowledgments

The authors are very grateful to the anonymous referees for a careful reading of this paper and some useful comments.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Zanjan, P. O. Box 45371–38791, Zanjan, Iran

    S. Maghsoudi & F. Mirzapour

Authors
  1. S. Maghsoudi
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  2. F. Mirzapour
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Correspondence to S. Maghsoudi.

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Communicated by Mohammad Sal Moslehian.

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Maghsoudi, S., Mirzapour, F. Root-Approximability of the Group of Automorphisms of the Unit Ball in \(\mathbf{\mathbb {C}}^{n}\) . Bull. Malays. Math. Sci. Soc. 39, 1477–1485 (2016). https://doi.org/10.1007/s40840-015-0258-2

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  • DOI: https://doi.org/10.1007/s40840-015-0258-2

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