List questions from normed-spaces

Published on 09 Apr 2026 - 0:56

244

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Are the metrics $d_∞(f,g)=\sup\limits_{x∈[0,1]}|f(x)−g(x)|$ and $d_1(f,g)=∫_1^0|f(x)−g(x)|\,\mathrm dx$ comparable?

Published on 15 Apr 2020 - 10:35

56

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What are some applications of norms and why study them? Is there a theory of norms?

Published on 09 Apr 2026 - 6:05

269

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Proof of the identity $\|A\|_{\infty}=\max_{1\le i \le n}(\sum_j |a_{ij}|)$

Published on 15 Apr 2020 - 12:34

31

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Relation between computing determinant using the traditional method taught vs computing the determinant using L2 norm

Published on 05 Apr 2026 - 17:45

357

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Proximal Operator Matrix Regression

Published on 25 Mar 2026 - 7:38

113

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Determine $R(T)$ and $N(T)$

Published on 07 Apr 2026 - 2:20

116

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Proof check about showing unit sphere is separable

Published on 09 Apr 2026 - 20:58

333

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How to interpret the norm of a matrix?

Published on 25 Mar 2026 - 20:42

3.9k

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Subgradient of square of L2 norm

Published on 25 Mar 2026 - 13:55

60

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Regarding spectral radius of a matrix

Published on 26 Mar 2026 - 12:34

551

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Understanding the proof of a theorem using Hahn-Banach Theorem.

Published on 25 Mar 2026 - 17:38

52

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Why can't a norm be induced by a metric?

Published on 18 Apr 2020 - 12:20

35

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Proving Compactness of a Set of Vectors

Published on 19 Apr 2020 - 6:48

54

Views

Proving the completeness of $L(V,W)$ when $W$ is complete.

Published on 19 Apr 2020 - 22:43

List Question

Norm and trace of an element in a cyclotomic number field

Are the metrics $d_∞(f,g)=\sup\limits_{x∈[0,1]}|f(x)−g(x)|$ and $d_1(f,g)=∫_1^0|f(x)−g(x)|\,\mathrm dx$ comparable?

What are some applications of norms and why study them? Is there a theory of norms?

Proof of the identity $\|A\|_{\infty}=\max_{1\le i \le n}(\sum_j |a_{ij}|)$

Relation between computing determinant using the traditional method taught vs computing the determinant using L2 norm

Proximal Operator Matrix Regression

Determine $R(T)$ and $N(T)$

Proof check about showing unit sphere is separable

How to interpret the norm of a matrix?

Subgradient of square of L2 norm

Regarding spectral radius of a matrix

Understanding the proof of a theorem using Hahn-Banach Theorem.

Why can't a norm be induced by a metric?

Proving Compactness of a Set of Vectors

Proving the completeness of $L(V,W)$ when $W$ is complete.

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