On pairs of vectors achieving the maximal angle of a convex cone |
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| Authors: | Alfredo Iusem Alberto Seeger |
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| Affiliation: | (1) Instituto de Matematica Pura e Aplicada, Estrada Dona Castorina 110 - Jardim Botanico, Rio de Janeiro, Brazil;(2) Department of Mathematics, University ofAvignon, 33, rue Louis Pasteur, 84000 Avignon, France |
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| Abstract: | In this paper we explore the concept of antipodality relative to a closed convex cone  . The problem under consideration is that of finding a pair of unit vectors in K achieving the maximal angle of the cone. We mention also a few words on the attainability of critical angles. By way of application of the general theory, we briefly discuss the problem of estimating the radius of pointedness of a cone. |
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| Keywords: | 52A40 90C26 |
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