Geodesic
On Brickman's Theorem
Journal of convex analysis, Tome 12 (2005) no. 1, pp. 139-143 Cet article a éte moissonné depuis la source Heldermann Verlag

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We give an elementary proof of a theorem of Brickman, which establishes the convexity of the image of the unit sphere of a space with dimension at least three under a vector mapping into R2 whose component functions are quadratic forms. We also discuss some consequences of this theorem regarding the range of that mapping.
Classification : 15A63, 52A10
Mots-clés : Quadratic forms, convexity 
@article{JCA_2005_12_1_JCA_2005_12_1_a8,
     author = {J. E. Mart{\'\i}nez-Legaz},
     title = {On {Brickman's} {Theorem}},
     journal = {Journal of convex analysis},
     pages = {139--143},
     year = {2005},
     volume = {12},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a8/}
}
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J. E. Martínez-Legaz. On Brickman's Theorem. Journal of convex analysis, Tome 12 (2005) no. 1, pp. 139-143. http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a8/