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Hahn-Banach Theorem

A linear Functional defined on a Subspace of a Vector Space $V$ and which is dominated by a sublinear function defined on $V$ has a linear extension which is also dominated by the sublinear function.


Zeidler, E. Applied Functional Analysis: Applications to Mathematical Physics. New York: Springer-Verlag, 1995.

© 1996-9 Eric W. Weisstein