Given a symmetric operator A on a Hilbert space with inner product and a complex number(adsbygoogle = window.adsbygoogle || []).push({}); λ = a + ib, we know that for all .

The author I am reading then says: this shows thatA-is injective ( one to one). I don't see how this follows. Can someone explain?λI

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# How does one-to-oneness follow from this?

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