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Resonance

, Volume 5, Issue 7, pp 8–16 | Cite as

Some aspects of convexity

2. Some applications to optimisation problems and to matrices
  • V S Sunder
General/Article
  • 15 Downloads

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.

Keywords

Convex Function Orthonormal Basis Linear Transformation Convex Subset Orthogonal Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Suggested Reading

  1. [1]
    V S Sunder,Functional Analysis: Spectral Theory, TRIM Series No.13, Hindustan Book Agency, Delhi 1997.Google Scholar
  2. [2]
    K Yosida,Functional Analysis, Springer, Berlin, 1965.Google Scholar

Copyright information

© Indian Academy of Sciences 2000

Authors and Affiliations

  • V S Sunder
    • 1
  1. 1.The Institute of Mathematical SciencesChennaiIndia

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