MathDB

5

Part of 1981 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1981_5

Source: convex cone in the n-dimensional real vector space

1/29/2009
Let K K be a convex cone in the n n-dimensional real vector space Rn \mathbb{R}^n, and consider the sets A\equal{}K \cup (\minus{}K) and B\equal{}(\mathbb{R}^n \setminus A) \cup \{ 0 \} (0 0 is the origin). Show that one can find two subspaces in Rn \mathbb{R}^n such that together they span Rn \mathbb{R}^n, and one of them lies in A A and the other lies in B B. J. Szucs
geometry3D geometryvectoradvanced fieldsadvanced fields unsolved