... Applications Volume 2007, Article ID 80987, 14 pagesdoi:10.1155/2007/80987 Research Article Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear OperatorsKamal ... separation of convex sets in an in nite-dimensional space Xhas the following known formulation.Theorem 2.2. Le t K0 and K1be disjoint convex subsets of a linear space X,andletK0havean internal ... internal point. Then there exists a nonzero linear functional f which separates K0 and K1. In a linear topological space, any two disjoint convex sets, one of w hich has an interiorpoint, can...