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Spectral measure of a normal operator
ID: spectral-measure-of-a-normal-operator
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Spectral measure of a normal operator
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
For
vectors
f
,
g
, the
scalar
spectral
measure
is
μ
f
,
g
(
S
)
=
⟨
E
(
S
)
f
,
g
⟩
.
Functional calculus
satisfies
⟨
h
(
A
)
f
,
g
⟩
=
∫
h
d
μ
f
,
g
.
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