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Dec 1, 2015 at 17:15 vote accept Gerhard Paseman
Dec 1, 2015 at 17:15 comment added Gerhard Paseman Thank you for the answer. Gerhard "Looking Forward To Christmas Problems" Paseman, 2015.12.01.
Nov 21, 2015 at 20:12 comment added Gerhard Paseman How do we know continuity applies here? If you can replace x and y by x_p and y_p and show given epsilon that for all p large enough norm(x_p + y_p) \gt 2 - epsilon, then I will give you that the limit is no smaller than 2. Right now it is unclear if a scalar times your x and a related epsilon modification of your y will work. Gerhard "Skeptical LOL Cat Demands Proof" Paseman, 2015.11.21
Nov 21, 2015 at 17:51 comment added Suvrit Moreover, for $p=\infty$, we actually have $C_p=2$, as the example $x=[1,\ {-1}]$, $y=[1,\ 0]$ shows, so in particular we cannot have $\lim_p C_p < 2$.
Nov 21, 2015 at 16:49 history edited Suvrit CC BY-SA 3.0
edited to prettify.
Nov 20, 2015 at 19:53 history edited Suvrit CC BY-SA 3.0
fixed link; wonder why links are getting messed up by themselves!
Nov 20, 2015 at 19:15 history edited Suvrit CC BY-SA 3.0
fixed link
Nov 20, 2015 at 18:58 comment added Gerhard Paseman At the moment "this note here" points to the Wikipedia page ( same as the other link ). Did you mean something else? Gerhard "Semantically Challenged By Indirect Reference" Paseman, 2015.11.20
Nov 20, 2015 at 18:52 history answered Suvrit CC BY-SA 3.0