Frenchel-Moreau Theorem(FASSPDE)

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Tianyu Zhang

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Theorem 1.7 Frenchel-Moreau Theorem

Result

A convex, l.s.c. function which is not identically infinity, coincides with its dual.

Proof(See Appendix Above)

Reference

Functional Analysis, Sobolev Spaces and Partial Differential Equations, Haim Brezis, Chapter 1

Related Topics

• Definitions
  • Convex
  • Continuous(Lower Semi Continuous)
  • Norm in Bidual
• Theorems/Corollary/Propositions/Lemmas