Geometric Forms Of Hahn-Banach Theorem

Authors: EGESIE O. EMMANUEL | Computer Science Projects 34 pages 4,430 words

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ABSTRACT

The geometric content of Hahn-Banach theorem is that, different kinds of sets can be separated by one another by real hyperplanes. the precise meaning of this will be explain in subsequence chapters where the statement of the theorems and proof were stated and proved. However, the Hahn-Banach theorem also enable us to obtain a considerable amount of geometric information about topological linear spaces, much of which is generalization of well known theorems concerning Euclidean spaces.

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