- #1
pellman
- 684
- 5
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?