, 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


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.


Convex Function Orthonormal Basis Linear Transformation Convex Subset Orthogonal Matrix 
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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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