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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Orthogonal complement
Replies: 15   Last Post: Mar 5, 2013 6:48 PM

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Shmuel (Seymour J.) Metz

Posts: 3,058
Registered: 12/4/04
Re: Orthogonal complement
Posted: Mar 3, 2013 8:16 PM
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In <9s07j89ui5l98kpkfnmv1l2oq5ocdt14tg@4ax.com>, on 03/03/2013
at 11:11 AM, David C. Ullrich <ullrich@math.okstate.edu> said:

>Maybe the "+" was supposed to mean _direct_ sum? It seems likely
>that it's easy to show that f is non-degenerate if and only if S
>intersect C(S) = 0 for all S.

Let f be a Lorentz metric, s nonzero with f(s,s)=0 and S = {s}. Then S
intersect C(S) is nonnull.

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