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Normal Semimodules: A Theory of Generalized Convex Cones

Published online by Cambridge University Press:  20 November 2018

Daniel A. Marcus
Daniel A. Marcus*
Affiliation:
California State Polytechnic University, Pomona, California
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In [3], C. Davis showed that if a convex polyhedral cone C (the positive span of a finite set of vectors in Euclidean space) contains no nonzero linear subspace, then C is linearly isomorphic to the set V+ of nonnegative points in a linear subspace V of Rn. Moreover n can be taken to be the number of facets (maximal proper faces) of C.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 36 , Issue 1 , 01 February 1984 , pp. 156 - 177
Copyright
Copyright © Canadian Mathematical Society 1984

References

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