Question

Is a relatively weakly compact subset necessarily norm bounded (by the Banach-Steinhaus theorem)?

score 148 · Answer 1 · 2026-03-26 23:09:42

148

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Is a relatively weakly compact subset necessarily norm bounded (by the Banach-Steinhaus theorem)?

Published on 26 Mar 2026 - 23:09

score 770 · Answer 2 · 2026-03-25 17:37:08

770

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Finding/Understanding the Shadow Price of a Variable

Published on 25 Mar 2026 - 17:37

score 61 · Answer 3 · 2020-12-22 03:37:29

61

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Linearity of Duality map implies Banach space is actually Hilbert.

Published on 22 Dec 2020 - 3:37

score 322 · Answer 4 · 2026-03-25 15:57:12

322

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Solving Dual Problem using Simplex Method?

Published on 25 Mar 2026 - 15:57

score 78 · Answer 5 · 2020-12-24 10:26:21

78

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If $\langle\;\cdot\;,\;\cdot\;\rangle$ is a duality pairing satisfying the Cauchy-Schwarz inequality, is $\|x\|=\sup_{\|y\|\le1}|\langle x,y\rangle|$

Published on 24 Dec 2020 - 10:26

score 143 · Answer 6 · 2026-03-30 00:04:00

143

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How to prove this beautiful statement on linear forms using induction?

Published on 30 Mar 2026 - 0:04

score 30 · Answer 7 · 2020-12-30 06:39:27

30

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Prove $\sum_{i=1}^{m}\lambda_i^\leq\frac{f(\hat{x})-f^}{\underset{i=1,\ldots,m}{\min}(-g_i(\hat{x}))}$

Published on 30 Dec 2020 - 6:39

score 123 · Answer 8 · 2021-01-02 16:13:07

123

Views

Purpose of the Perturbation function in Convex Optimization

Published on 02 Jan 2021 - 16:13

score 195 · Answer 9 · 2021-01-02 17:36:17

195

Views

Formal Rules for Categorical Duality

Published on 02 Jan 2021 - 17:36

score 106 · Answer 10 · 2021-01-04 09:50:14

106

Views

Find the dual problem of $\min_x\{||x-a_1||+||x-a_2||+||x-a_3||,a_i\in\mathbb{R}^n\}$

Published on 04 Jan 2021 - 9:50

score 472 · Answer 11 · 2021-01-04 19:33:28

472

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Orthogonal Projection onto a Variation of the Unit Simplex

Published on 04 Jan 2021 - 19:33

score 45 · Answer 12 · 2021-01-05 08:10:24

45

Views

Prove that the optimal value is $f(x)=\sum_{i=1}^{k}x_{[i]}$ where $x_{[i]}$ is the ith largest values in the vector $x$

Published on 05 Jan 2021 - 8:10

score 61 · Answer 13 · 2021-01-14 08:18:38

61

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How to find the dual of a system if there is multiplication of 2 variables?

Published on 14 Jan 2021 - 8:18

score 34 · Answer 14 · 2026-03-25 10:57:00

34

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dual of an ovoid in $PG(3,q)$

Published on 25 Mar 2026 - 10:57

score 63 · Answer 15 · 2021-01-24 07:33:23

63

Views

Find the dual problem to the following $\min$ $\alpha$ s.t $Aq=\alpha f$

Published on 24 Jan 2021 - 7:33

List Question

Is a relatively weakly compact subset necessarily norm bounded (by the Banach-Steinhaus theorem)?

Finding/Understanding the Shadow Price of a Variable

Linearity of Duality map implies Banach space is actually Hilbert.

Solving Dual Problem using Simplex Method?

If $\langle\;\cdot\;,\;\cdot\;\rangle$ is a duality pairing satisfying the Cauchy-Schwarz inequality, is $\|x\|=\sup_{\|y\|\le1}|\langle x,y\rangle|$

How to prove this beautiful statement on linear forms using induction?

Prove $\sum_{i=1}^{m}\lambda_i^\leq\frac{f(\hat{x})-f^}{\underset{i=1,\ldots,m}{\min}(-g_i(\hat{x}))}$

Purpose of the Perturbation function in Convex Optimization

Formal Rules for Categorical Duality

Find the dual problem of $\min_x\{||x-a_1||+||x-a_2||+||x-a_3||,a_i\in\mathbb{R}^n\}$

Orthogonal Projection onto a Variation of the Unit Simplex

Prove that the optimal value is $f(x)=\sum_{i=1}^{k}x_{[i]}$ where $x_{[i]}$ is the ith largest values in the vector $x$

How to find the dual of a system if there is multiplication of 2 variables?

dual of an ovoid in $PG(3,q)$

Find the dual problem to the following $\min$ $\alpha$ s.t $Aq=\alpha f$

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