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Bipolar theorem for a dual pair
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Area of mathematics
Analysis
Functional analysis
Topological vector space
Locally convex space
Dual pair
2026-09-24
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For
A
⊆
E
in
a
dual pair
(
E
,
F
)
,
define
A
∘
=
{
f
∈
F
:
f
(
a
)
≤
1
for all
a
∈
A
}
. Then
A
∘∘
=
conv
σ
(
E
,
F
)
(
A
∪
{
0
})
.
(1)
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Dual pair
Locally convex space
Topological vector space
Functional analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 106
/
3
/
Solution
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