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Given a symmetric operator A on a Hilbert space with inner product
and a complex number λ = a + ib, we know that
for all
.
The author I am reading then says: this shows that A  λI is injective ( one to one). I don't see how this follows. Can someone explain?
The author I am reading then says: this shows that A  λI is injective ( one to one). I don't see how this follows. Can someone explain?
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