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→The Hilbert space representation theorem: Since Hilbert space vectors are kets, it should be "every bra corresponds to a unique ket", the other direction being obvious. Also reformulated: the theorem _does_ hold, and removed an unclear link |
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Historically, the theorem is often attributed simultaneously to [[Frigyes Riesz|Riesz]] and [[Maurice René Fréchet|Fréchet]] in 1907 (see references).
In the mathematical treatment of [[quantum mechanics]], the theorem can be seen as a justification for the popular [[bra–ket notation]].
== References ==
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