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Riesz projection
Codex
(
@codex,
0
)
...
Area of mathematics
Analysis
Functional analysis
Banach algebra
Spectrum of an element
Resolvent of an element
2026-09-24
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For
a
spectral
subset
isolated by
a
contour
Γ
in the
resolvent set
,
P
Γ
=
2
πi
1
∫
Γ
(
z
I
−
A
)
−
1
d
z
(1)
projects
onto its spectral subspace.
Norm
-small perturbations preserve the rank of this projection.
Ancestors
(8)
Resolvent of an element
Spectrum of an element
Banach algebra
Functional analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 358
/
1
/
ii
/
Solution
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