List questions from normed-spaces

Published on 13 Apr 2026 - 9:05

54

Views

Check if the functional is continuous

Published on 11 Apr 2026 - 10:06

30

Views

Check if following functional is continuous

Published on 12 Apr 2026 - 10:56

384

Views

If $X = U\Sigma V^T$ and $\|Y\|=1$, why does $Y = UV^T$ maximize $\langle X,Y\rangle$?

Published on 13 Apr 2026 - 10:24

201

Views

Is an infinite dimensional vector space complete under the norm $\|x\|=\sum|x_i|$

Published on 15 Apr 2026 - 8:33

70

Views

I - T not isomorphism in non-Banach normed spaces

Published on 11 Apr 2026 - 1:09

70

Views

Proof verification: Is $(\mathbb{R}[x], ||\cdot||_q)$ a normed linear space?

Published on 15 Apr 2026 - 13:38

134

Views

Given a matrix of the form $A=a\otimes b$ then $|A|_{nm}=|a|_{n} |b|_{m}$

Published on 16 Apr 2026 - 3:55

323

Views

Prove that this is a norm

Published on 16 Apr 2026 - 15:10

62

Views

Equivalence of norms => Maximization of Vectors

Published on 14 Apr 2026 - 14:23

2.8k

Views

Norm $L^2$ of a multivariate function

Published on 12 Apr 2026 - 7:43

52

Views

Show that the following inequalities are satisfied.

Published on 12 Apr 2026 - 18:18

38

Views

Showing the map $T: D\to D$ is a contraction

Published on 14 Apr 2026 - 23:12

1.4k

Views

Use the Cauchy-Schwarz inequality to prove $||x||_1 \leq \sqrt{n}||x||_2$

Published on 14 Apr 2026 - 22:07

85

Views

Interpret this expression $\left \| A \right \| _1 = \max \limits _{1 \leq j \leq n} \sum _{i=1} ^m | a_{ij} |$

Published on 15 Apr 2026 - 3:15

List Question

Why are these steps accurate? Matrix norms inequalities.

Check if the functional is continuous

Check if following functional is continuous

If $X = U\Sigma V^T$ and $\|Y\|=1$, why does $Y = UV^T$ maximize $\langle X,Y\rangle$?

Is an infinite dimensional vector space complete under the norm $\|x\|=\sum|x_i|$

I - T not isomorphism in non-Banach normed spaces

Proof verification: Is $(\mathbb{R}[x], ||\cdot||_q)$ a normed linear space?

Given a matrix of the form $A=a\otimes b$ then $|A|_{nm}=|a|_{n} |b|_{m}$

Prove that this is a norm

Equivalence of norms => Maximization of Vectors

Norm $L^2$ of a multivariate function

Show that the following inequalities are satisfied.

Showing the map $T: D\to D$ is a contraction

Use the Cauchy-Schwarz inequality to prove $||x||_1 \leq \sqrt{n}||x||_2$

Interpret this expression $\left \| A \right \| _1 = \max \limits _{1 \leq j \leq n} \sum _{i=1} ^m | a_{ij} |$

Trending Questions

Popular # Hahtags

Popular Questions