Question

Convex conjugate of independent sum

score 42 · Answer 1 · 2026-04-18 17:26:24

42

Views

Convex conjugate of independent sum

Published on 18 Apr 2026 - 17:26

score 57 · Answer 2 · 2026-04-15 06:08:28

57

Views

Why dual norm inequality is tight in $\mathbb{R}^{n}$

Published on 15 Apr 2026 - 6:08

score 33 · Answer 3 · 2026-04-16 20:25:25

33

Views

If ${\rm ker}T\cap C_\infty=\{0\}$, prove that $T(C_\infty)=T(C)_\infty$

Published on 16 Apr 2026 - 20:25

score 45 · Answer 4 · 2026-04-13 00:08:07

45

Views

Space of difference of continuous convex functions is dense in continuous functions

Published on 13 Apr 2026 - 0:08

score 92 · Answer 5 · 2026-04-16 04:40:46

92

Views

Prove that $g(t)=\frac{1}{t}(f(x+ty)-f(x))$ is monotone

Published on 16 Apr 2026 - 4:40

score 72 · Answer 6 · 2026-04-14 22:51:14

72

Views

Prove that balls are not convex in $C(\mathbb{R})$.

Published on 14 Apr 2026 - 22:51

score 228 · Answer 7 · 2026-04-14 23:47:58

228

Views

Does Hessian of rank one mean curvature in one direction and flatness in the other

Published on 14 Apr 2026 - 23:47

score 400 · Answer 8 · 2026-04-15 00:06:11

400

Views

Directional derivative zero, minimum and convexity

Published on 15 Apr 2026 - 0:06

score 35 · Answer 9 · 2026-04-09 06:21:04

35

Views

A question about Quasi-convexity in the sense of Morrey

Published on 09 Apr 2026 - 6:21

score 167 · Answer 10 · 2026-04-11 17:11:36

167

Views

Functions that are coercive along every line

Published on 11 Apr 2026 - 17:11

score 69 · Answer 11 · 2026-04-15 07:05:26

69

Views

Updated- Proof of convexity of trace function- is this argument correct

Published on 15 Apr 2026 - 7:05

score 29 · Answer 12 · 2026-04-15 11:11:22

29

Views

$f$ can only be quadratic if its Hessian determinant is constant. How about complex case

Published on 15 Apr 2026 - 11:11

score 32 · Answer 13 · 2026-04-13 00:29:33

32

Views

Find the Fenchel transform of a function of two variables when one variable is fixed

Published on 13 Apr 2026 - 0:29

score 89 · Answer 14 · 2026-04-13 22:32:46

89

Views

For an interior point of a convex hull, does there exist a polytope with vertexes in the set and with that point as an interior point?

Published on 13 Apr 2026 - 22:32

score 28 · Answer 15 · 2026-04-12 21:18:33

28

Views

Behaviour of the nearest point to $x$ on the convex set when $x$ goes to infinity

Published on 12 Apr 2026 - 21:18

List Question

Convex conjugate of independent sum

Why dual norm inequality is tight in $\mathbb{R}^{n}$

If ${\rm ker}T\cap C_\infty=\{0\}$, prove that $T(C_\infty)=T(C)_\infty$

Space of difference of continuous convex functions is dense in continuous functions

Prove that $g(t)=\frac{1}{t}(f(x+ty)-f(x))$ is monotone

Prove that balls are not convex in $C(\mathbb{R})$.

Does Hessian of rank one mean curvature in one direction and flatness in the other

Directional derivative zero, minimum and convexity

A question about Quasi-convexity in the sense of Morrey

Functions that are coercive along every line

Updated- Proof of convexity of trace function- is this argument correct

$f$ can only be quadratic if its Hessian determinant is constant. How about complex case

Find the Fenchel transform of a function of two variables when one variable is fixed

For an interior point of a convex hull, does there exist a polytope with vertexes in the set and with that point as an interior point?

Behaviour of the nearest point to $x$ on the convex set when $x$ goes to infinity

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