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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.


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References

Casti, J. L. "The Hahn-Banach Theorem." Ch. 4 in Five More Golden Rules: Knots, Codes, Chaos, and Other Great Theories of 20th-Century Mathematics. New York: Wiley, pp. 155-205, 2000.Zeidler, E. Applied Functional Analysis: Applications to Mathematical Physics. New York: Springer-Verlag, 1995.

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Hahn-Banach Theorem

Cite this as:

Weisstein, Eric W. "Hahn-Banach Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Hahn-BanachTheorem.html

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