Talk:Dual space of C 0(x) vs C b(x): Difference between revisions

Revision as of 04:35, 12 June 2020

Cite pages of Villani, using the ref syntax
Also create references to the Kantorovich duality pages on the OT wiki
This section is too similar to Villani's book and should be either replaced with something else or rewritten. Perhaps it would be better to elaborate on the interesting example you began discussing in the previous section on ``The case of Cb``?

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-==The case of Cb(X)==
-* It seems a little unbalanced that the dual space of C0 is discussed in the previous section and the dual space of Cb is discussed in this section.
-* The first sentence is too similar to Santambrogio and could be considered copyright infringement. It also isn't well motivated. Why does one want to produce such functions? Cite Santambrogio.
-* You should cite the precise pages in Villani's book that you reference.
-* The second to last sentence is not a run on sentence.
-* You should change the phrase ``Hahn-Banach`` to link to the Wikipedia page on Hahn Banach. You should elaborate on why one can build a continuous extension to all f Cb.
-* The last sentence is great!
 ==Kantorovich Duality for Cb==