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Extreme points of convex sets and selection theorems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 171)

Keywords

  • Banach Space
  • Extreme Point
  • Norm Topology
  • Selection Theorem
  • Standard Compactness Argument

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Bibliography

  1. K. Kuratowski and C. Ryll-Nardzewski, A General Theorem on Selectors, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys., 13 (1965), 397–403.

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  2. P. R. Halmos, "Measure Theory", D. Van Nostrand, New York, 1950.

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  3. K. Sundaresan, Extreme Points of Convex Sets in Lebesgue-Bochner Function Spaces II Report 69-13, Department of Mathematics, Carnegie-Mellon University (1969).

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  4. N. Dunford and J. T. Schwartz, Linear Operators Part I, Interscience Publishers, New York, 1958.

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  5. E. Hille and R. S. Phillips, "Functional Analysis and Semi-groups" Amer. Math. Soc. Coll. Publ. XXXI, 1957.

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© 1970 Springer-Verleg

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Sundaresan, K. (1970). Extreme points of convex sets and selection theorems. In: Fleischman, W.M. (eds) Set-Valued Mappings, Selections and Topological Properties of 2x . Lecture Notes in Mathematics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069726

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  • DOI: https://doi.org/10.1007/BFb0069726

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05293-7

  • Online ISBN: 978-3-540-36419-1

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