Question

Role of Compactness in proving equivalence of norms for finite dimensional spaces

score 56 · Answer 1 · 2026-04-12 12:02:30

56

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Role of Compactness in proving equivalence of norms for finite dimensional spaces

Published on 12 Apr 2026 - 12:02

score 4.4k · Answer 2 · 2026-04-16 13:19:27

4.4k

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Finite vector space V,W so is L(V,W)

Published on 16 Apr 2026 - 13:19

score 63 · Answer 3 · 2026-04-11 09:37:44

63

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Is $u \mapsto \|u\|_p$ a bounded linear functional on $L^p(\Omega)$?

Published on 11 Apr 2026 - 9:37

score 804 · Answer 4 · 2026-04-13 17:46:42

804

Views

Counter example for special case of Riesz lemma

Published on 13 Apr 2026 - 17:46

score 103 · Answer 5 · 2026-04-10 02:54:19

103

Views

How do I norm $5x+4$?

Published on 10 Apr 2026 - 2:54

score 51 · Answer 6 · 2026-04-13 20:05:13

51

Views

Trying to show $\Vert A (\sum_{j=1}^n v_j)\Vert_2^2 = \sum_{j=1}^n\lambda_j^2$?

Published on 13 Apr 2026 - 20:05

score 273 · Answer 7 · 2026-04-10 11:39:28

273

Views

Eigenvectors when the eigenvalue if the norm of the matrix.

Published on 10 Apr 2026 - 11:39

score 531 · Answer 8 · 2026-04-15 14:30:58

531

Views

Matrix norm inequality Frobenius and l1: $\|A\|_1\le \sqrt{rank(A)}\|A\|_F$ and $\|uu'-vv'\|_1\le\sqrt{2}\|uu'-vv'\|_F$

Published on 15 Apr 2026 - 14:30

score 156 · Answer 9 · 2026-04-11 19:36:35

156

Views

Showing $\Vert H \Vert_2 = \Vert MN \Vert_2 \le \Vert M \Vert_2 \Vert N \Vert_2 = \Vert N \Vert_2$ is actually a strict equality?

Published on 11 Apr 2026 - 19:36

score 415 · Answer 10 · 2026-04-14 12:02:57

415

Views

Prove that norms are equivalent

Published on 14 Apr 2026 - 12:02

score 1.6k · Answer 11 · 2026-04-14 12:29:23

1.6k

Views

Given two equivalent norms, convergence in one implies convergences in other.

Published on 14 Apr 2026 - 12:29

score 1.7k · Answer 12 · 2026-04-15 05:52:27

1.7k

Views

Minimizing vector norm

Published on 15 Apr 2026 - 5:52

score 311 · Answer 13 · 2026-04-10 10:19:07

311

Views

How to solve x in y for both are vectors?

Published on 10 Apr 2026 - 10:19

score 880 · Answer 14 · 2026-04-15 04:02:30

880

Views

Boyd & Vandenberghe, example 3.11 — what's the meaning of this kind of induced norm?

Published on 15 Apr 2026 - 4:02

score 302 · Answer 15 · 2026-04-14 22:56:45

302

Views

Generalization of Hahn-Banach theorem: given $f : U \to W$, can we always extend it to get $g : V \to W$?

Published on 14 Apr 2026 - 22:56

List Question

Role of Compactness in proving equivalence of norms for finite dimensional spaces

Finite vector space V,W so is L(V,W)

Is $u \mapsto \|u\|_p$ a bounded linear functional on $L^p(\Omega)$?

Counter example for special case of Riesz lemma

How do I norm $5x+4$?

Trying to show $\Vert A (\sum_{j=1}^n v_j)\Vert_2^2 = \sum_{j=1}^n\lambda_j^2$?

Eigenvectors when the eigenvalue if the norm of the matrix.

Matrix norm inequality Frobenius and l1: $\|A\|_1\le \sqrt{rank(A)}\|A\|_F$ and $\|uu'-vv'\|_1\le\sqrt{2}\|uu'-vv'\|_F$

Showing $\Vert H \Vert_2 = \Vert MN \Vert_2 \le \Vert M \Vert_2 \Vert N \Vert_2 = \Vert N \Vert_2$ is actually a strict equality?

Prove that norms are equivalent

Given two equivalent norms, convergence in one implies convergences in other.

Minimizing vector norm

How to solve x in y for both are vectors?

Boyd & Vandenberghe, example 3.11 — what's the meaning of this kind of induced norm?

Generalization of Hahn-Banach theorem: given $f : U \to W$, can we always extend it to get $g : V \to W$?

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