English

Birkhoff's version of Hilbert's metric and its applications in analysis

Metric Geometry 2013-05-01 v1

Abstract

This is a survey article concerning applications of Hilbert's metric in the analysis and dynamics of linear and nonlinear mappings on cones. It will appear as a chapter in the "Handbook of Hilbert geometry", ed. G. Besson, A. Papadopoulos and M. Troyanov, European Mathematical Society Publishing House, Z\"urich.

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Cite

@article{arxiv.1304.7921,
  title  = {Birkhoff's version of Hilbert's metric and its applications in analysis},
  author = {Bas Lemmens and Roger Nussbaum},
  journal= {arXiv preprint arXiv:1304.7921},
  year   = {2013}
}

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32 pages