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>> No.11484752 [View]
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11484752

>>11484666
>it doesn't have to be countable
Any element is written uniquely as a sum of finitely many elements of the base, so the sum is always well defined either way.
>Secondly, you can't really say |v|=∑a|λa| unless you have a notion of orthonormality, which not even separability guarantees, and this is modulo convergence and completeness issues.
I have literally no idea what you mean.

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