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(Solved): Please answer the following functional analysis question: 3. Let H be a Hilbert space and PB(H) b ...
Please answer the following functional analysis question:
3. Let
H
be a Hilbert space and
P
∈
B
(
H
)
be such that
P
2
=
P
. Show that
P
∗
=
P
if and only if
P
is an orthogonal projection.
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