Question

Showing Homogeneity of norm $||(x,y)||=\sup_{0\leq\theta\leq 2\pi} || x \cos\theta + y\sin\theta ||$

score 80 · Answer 1 · 2020-01-22 14:06:09

80

Views

Showing Homogeneity of norm $||(x,y)||=\sup_{0\leq\theta\leq 2\pi} || x \cos\theta + y\sin\theta ||$

Published on 22 Jan 2020 - 14:06

score 1k · Answer 2 · 2020-01-22 19:20:14

1k

Views

Prove or disprove inequality between 1-norm, 2-norm and infinity norm.

Published on 22 Jan 2020 - 19:20

score 21 · Answer 3 · 2026-04-04 21:38:23

21

Views

estimative of the norm times p

Published on 04 Apr 2026 - 21:38

score 27 · Answer 4 · 2020-01-22 20:44:15

27

Views

How to model $\| z\|_1^2$ in the objective of a quadratic program?

Published on 22 Jan 2020 - 20:44

score 150 · Answer 5 · 2026-04-08 02:44:29

150

Views

Help with proof of Frobenius norm being less than induced 1-norm

Published on 08 Apr 2026 - 2:44

score 38 · Answer 6 · 2020-01-23 04:48:21

38

Views

Suppose that u is a d x 1 vector such that ||u|| =1. What information does it implied to us?

Published on 23 Jan 2020 - 4:48

score 76 · Answer 7 · 2020-01-23 10:07:27

76

Views

Maximum value of frobenious norm of probuct of three matrices.

Published on 23 Jan 2020 - 10:07

score 80 · Answer 8 · 2026-03-26 04:53:03

80

Views

Why is $x^T(uu^T)x=(x^Tu)(u^Tx) = (\langle x, u \rangle)(\langle x, u \rangle)=((\langle x, u \rangle))^2 \geq 0$

Published on 26 Mar 2026 - 4:53

score 64 · Answer 9 · 2026-04-04 21:31:52

64

Views

Showing bound for operator norm on $\mathcal{L}(L^p)$

Published on 04 Apr 2026 - 21:31

score 54 · Answer 10 · 2020-01-23 14:07:18

54

Views

Can I study normed linear spaces without studying inner product space?

Published on 23 Jan 2020 - 14:07

score 2.5k · Answer 11 · 2020-01-23 15:19:46

2.5k

Views

Does every norm induce a metric and vice versa?

Published on 23 Jan 2020 - 15:19

score 45 · Answer 12 · 2020-01-23 17:19:34

45

Views

Show there's an $x^* \neq 0$ such that $\| Ax^\| = \| A\| \| x^\|$

Published on 23 Jan 2020 - 17:19

score 205 · Answer 13 · 2026-04-08 05:48:16

205

Views

(Help checking) proof of norm being submultiplicative

Published on 08 Apr 2026 - 5:48

score 144 · Answer 14 · 2026-03-25 16:07:03

144

Views

Riesz lemma proof clarification

Published on 25 Mar 2026 - 16:07

score 33 · Answer 15 · 2020-01-25 05:18:37

33

Views

Minimize function of L2 and L1 vector's norm

Published on 25 Jan 2020 - 5:18

List Question

Showing Homogeneity of norm $||(x,y)||=\sup_{0\leq\theta\leq 2\pi} || x \cos\theta + y\sin\theta ||$

Prove or disprove inequality between 1-norm, 2-norm and infinity norm.

estimative of the norm times p

How to model $\| z\|_1^2$ in the objective of a quadratic program?

Help with proof of Frobenius norm being less than induced 1-norm

Suppose that u is a d x 1 vector such that ||u|| =1. What information does it implied to us?

Maximum value of frobenious norm of probuct of three matrices.

Why is $x^T(uu^T)x=(x^Tu)(u^Tx) = (\langle x, u \rangle)(\langle x, u \rangle)=((\langle x, u \rangle))^2 \geq 0$

Showing bound for operator norm on $\mathcal{L}(L^p)$

Can I study normed linear spaces without studying inner product space?

Does every norm induce a metric and vice versa?

Show there's an $x^* \neq 0$ such that $\| Ax^\| = \| A\| \| x^\|$

(Help checking) proof of norm being submultiplicative

Riesz lemma proof clarification

Minimize function of L2 and L1 vector's norm

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