Inequalities Characterizing Coisotone Cones in Euclidean Spaces |
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Authors: | Sandor Z Németh |
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Institution: | (1) School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham, B15 2TT, United Kingdom |
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Abstract: | The isotone projection cone, defined by G. Isac and A. B. Németh, is a closed pointed convex cone such that the order relation
defined by the cone is preserved by the projection operator onto the cone. In this paper the coisotone cone will be defined
as the polar of a generating isotone projection cone. Several equivalent inequality conditions for the coisotonicity of a
cone in Euclidean spaces will be given.
Thanks are due to A. B. Németh who draw the author’s attention on the relation of latticial cones generated by vectors with
pairwise non-accute angles with the theory of isotone cones. |
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Keywords: | 47H07 47H99 47H09 46A40 46B42 |
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