Convergence in Hilbert's metric and convergence in direction |
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| Authors: | Elon Kohlberg Abraham Neyman |
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| Institution: | Graduate School of Business, Harvard University, Boston, Massachusetts 02163 U.S.A.;Department of Mathematics, University of California, Berkeley, California 94720 U.S.A. |
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| Abstract: | Hilbert's metric on a cone K is a measure of distance between the rays of K. Hilbert's metric has many applications, but they all depend on the equivalence between closeness of two rays in the Hilbert metric and closeness of the two unit vectors along these rays (in the usual sense). A necessary and sufficient condition on K for this equivalence to hold is given. |
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