Abstract
The Hahn-Banach theorem is the most important theorem about the structure of linear continuous functionals on normed spaces. In terms of geometry, the Hahn-Banach theorem guarantees the separation of convex sets in normed spaces by hyperplanes. Figure 1.1 describes a number of important consequences of the Hahn-Banach theorem that will be studied in this chapter and the following one.
The most practical solution is a good theory. Albert Einstein
True optimization is the revolutionary contribution of modern research to decision processes. George Bernhard Dantzig (born 1941)
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© 1995 Springer Science+Business Media New York
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Zeidler, E. (1995). The Hahn-Banach Theorem and Optimization Problems. In: Applied Functional Analysis. Applied Mathematical Sciences, vol 109. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0821-1_1
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DOI: https://doi.org/10.1007/978-1-4612-0821-1_1
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