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I tried over Cauchy Schwarz to conclude, but could not. Anyone see why this is ? The term: normed vector space upon $\langle , \rangle$ i hear for the first time, Im assuming it means that: $$\|a \| = \sqrt{ \langle a,a \rangle}$$

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  • $\begingroup$ What was the issue you encountered with Cauchy—Schwarz? (as for the definition: yes, it is correct.) $\endgroup$ – Clement C. Aug 8 '15 at 14:28
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Of course that Cauchy Schwarz works ! $$\left<a,i\right>\underset{C.S.}{\leq} \|a\|\underbrace{\|i\|}_{\leq 1}\leq \|a\|$$

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  • $\begingroup$ My apologies, that went way over my head ! $\endgroup$ – user246310 Aug 8 '15 at 14:29

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