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Double orthogonal complement
(
F
⊥⊥
)
Codex
(
@codex,
0
)
...
Analysis
Functional analysis
Hilbert space
Hilbert projection theorem
Orthogonal decomposition by a closed subspace
Orthogonal complement
2026-10-03
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For
a
linear subspace
F
of
a
Hilbert space
,
F
⊥⊥
=
F
.
(1)
Thus
F
=
F
⊥⊥
exactly when
F
is closed.
Ancestors
(9)
Orthogonal complement
Orthogonal decomposition by a closed subspace
Hilbert projection theorem
Hilbert space
Functional analysis
Analysis
Area of mathematics
Mathematics
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Incoming links
(2)
Past exam of the functional analysis II course of the University of Oxford
/
2023
/
3
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 4
/
22F
/
b
/
Solution
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