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p
∗
=
inf
x
∈
X
{
f
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+
g
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A
x
)
}
{\displaystyle p^{*}=\inf _{x\in X}\{f(x)+g(Ax)\}}
d
∗
=
sup
y
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∈
Y
∗
{
−
f
∗
(
A
∗
y
∗
)
−
g
∗
(
−
y
∗
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}
{\displaystyle d^{*}=\sup _{y^{*}\in Y^{*}}\{-f^{*}(A^{*}y^{*})-g^{*}(-y^{*})\}}
instead of
p
∗
=
inf
x
∈
X
{
f
(
x
)
+
g
(
A
x
)
}
{\displaystyle p^{*}=\inf _{x\in X}\{f(x)+g(Ax)\}}
d
∗
=
inf
y
∗
∈
Y
∗
{
f
∗
(
A
∗
y
∗
)
+
g
∗
(
−
y
∗
)
}
{\displaystyle d^{*}=\inf _{y^{*}\in Y^{*}}\{f^{*}(A^{*}y^{*})+g^{*}(-y^{*})\}}
? — Preceding unsigned comment added by 132.185.132.13 (talk ) 10:12, 29 April 2014 (UTC) [ reply ]
sup
y
∗
∈
Y
∗
{
−
f
∗
(
A
∗
y
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)
−
g
∗
(
−
y
∗
)
}
=
−
inf
y
∗
∈
Y
∗
{
f
∗
(
A
∗
y
∗
)
+
g
∗
(
−
y
∗
)
}
{\displaystyle \sup _{y^{*}\in Y^{*}}\{-f^{*}(A^{*}y^{*})-g^{*}(-y^{*})\}=-\inf _{y^{*}\in Y^{*}}\{f^{*}(A^{*}y^{*})+g^{*}(-y^{*})\}}
— Preceding unsigned comment added by 132.185.132.13 (talk ) 11:08, 29 April 2014 (UTC) [ reply ]
Jess_Riedel (talk ) 03:07, 2 July 2017 (UTC) [ reply ]
Encyclops (talk ) 18:28, 3 July 2017 (UTC) [ reply ]
