A couple of days ago I posted this question on Mathematics Stack Exchange. Surprisingly, so far, I haven't received any answers or comments about it (besides my own possible answer). Maybe I can get more feedback over here.
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$\begingroup$ Here is some feedback: wait a few days more, and then post the question details instead of the link. If you think you have the answer, then the question should not be "Am I right?" but instead "Is step X correct?", where step X is specific and indeed something on which you have some doubt. Gerhard "Ask Me About Asking Properly" Paseman, 2014.03.26 $\endgroup$– Gerhard PasemanCommented Mar 26, 2014 at 23:31
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1$\begingroup$ The answer to your question is yes. If k is the cardinality of the support of x then the final norm of x is equal to the k norm. In most cases you can do better. In Tsirelson space you can stop at approximately the (k-1)/2 norm. This is pretty easy to prove. You can find a discussion at the end of Casazza and Schura's book. $\endgroup$– Kevin BeanlandCommented Mar 27, 2014 at 12:49
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