Talk:Fenchel–Moreau theorem

Who are Fenchel and Moreau

One thing still missing from the article is anything about who Fenchel and Moreau are. Jean Jacques Moreau? Charles Paul Narcisse Moreau? Pierre Moreau, the 18th-century mathematician, astronomer, and biologist? Some other? Werner Fenchel? Kate Sperling Fenchel? Someone else? Michael Hardy (talk) 23:45, 17 March 2012 (UTC)[reply]

I believe it is named after Werner Fenchel and Jean Jacques Moreau, but I do not have a reference for that. Zfeinst (talk) 00:40, 18 March 2012 (UTC)[reply]

Isn't the double dual naturally defined on the double conjugate?

I was wondering: the theorem states conditions under which $f^{**}=f$ . But $f$ is defined on $X$ Hausdorff and locally convex, which needs not to be reflexive. Wouldn't it be more precise writing: $f_{|X}^{**}=f$ (with the natural embedding in the double dual)? Roddik (talk) 23:53, 16 September 2024 (UTC)[reply]