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A note on self-extremal sets in L p (Ω) spaces

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  • Viet Nguyen-Khac
  • Khiem Nguyen-Van

Abstract

We give a necessary condition for a set in L p ( Ω ) spaces ( 1 < p < ∞ ) to be self-extremal that partially extends our previous results to the case of L p spaces. Examples of self-extremal sets in L p ( Ω ) ( 1 < p < ∞ ) are also given.

Suggested Citation

  • Viet Nguyen-Khac & Khiem Nguyen-Van, 2005. "A note on self-extremal sets in L p (Ω) spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:863132
    DOI: 10.1155/IJMMS.2005.3521
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