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Mar 29, 2019 at 12:55 comment added Robert Furber I suspect $C$ and $\Gamma$ are used together because $C$ is the "Latin version" of $\Gamma$, in some sense (they are both third in alphabetical order, and apparently $C$ was derived from $\Gamma$ by the Etruscans).
Mar 29, 2019 at 9:04 history edited Dirk CC BY-SA 4.0
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Jun 28, 2018 at 10:11 history edited Dirk CC BY-SA 4.0
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Feb 22, 2017 at 16:10 comment added MMFF Oh, right. I should remember more often my professor's motto: "look at the boundary". Than you again!
Feb 22, 2017 at 15:38 comment added Dirk You're welcome. The answer to your question is no, since affine functions are also in $\Gamma_0(H)$. I don't think that you get a more handy description as "convex, proper and lsc" or "suprema of affine function, but not constant $\pm\infty$.
Feb 22, 2017 at 15:31 comment added MMFF Thank you for your detailed answer. Could we therefore say that $\Gamma_0(H)$ is the set of the functions belonging to $\Gamma(H)$ that admit the horizontal (zero) hyperplane as supporting hyperplane?
Feb 22, 2017 at 15:27 vote accept MMFF
Feb 22, 2017 at 14:35 history answered Dirk CC BY-SA 3.0