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Some aspects of convexity

2. Some applications to optimisation problems and to matrices

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Conclusion

In conclusion, we find that the Krein-Milman theorem is a simply stated and geometrically pleasing fact, which has manifold applications. It is also a powerful theoretical result, and to see its full strength, it should be stated as a result about compact convex sets in a general (possibly infinite-dimensional)locally convex topological space. The interested reader is directed to such standard texts as [2] for further details.

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Suggested Reading

  1. V S Sunder,Functional Analysis: Spectral Theory, TRIM Series No.13, Hindustan Book Agency, Delhi 1997.

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  2. K Yosida,Functional Analysis, Springer, Berlin, 1965.

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  1. The Institute of Mathematical Sciences, Taramani P.O., 600 113, Chennai, India

    V S Sunder

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  1. V S Sunder
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Sunder, V.S. Some aspects of convexity. Reson 5, 8–16 (2000). https://doi.org/10.1007/BF02867243

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