Question

Upperbound with Frobenius and Euclidean Norms

score 66 · Answer 1 · 2026-03-26 06:27:50

66

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Upperbound with Frobenius and Euclidean Norms

Published on 26 Mar 2026 - 6:27

score 277 · Answer 2 · 2026-03-25 09:35:39

277

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False proof that infinite dimensional Banach space has no countable basis

Published on 25 Mar 2026 - 9:35

score 4.3k · Answer 3 · 2026-03-25 07:45:39

4.3k

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How to show the Cauchy-Schwarz inequality $\langle x,y\rangle\leq \|y\|\|x\|_*$ for computing the Fenchel conjugate of a norm

Published on 25 Mar 2026 - 7:45

score 276 · Answer 4 · 2026-03-22 13:21:42

276

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Piecewise Holder functions

Published on 22 Mar 2026 - 13:21

score 578 · Answer 5 · 2026-03-20 05:06:41

578

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Minimal $\ell_\infty$ solution of underdetermined system of linear equations

Published on 20 Mar 2026 - 5:06

score 64 · Answer 6 · 2018-02-20 18:30:55

64

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Continuity of a function from norm space to R

Published on 20 Feb 2018 - 18:30

score 150 · Answer 7 · 2018-02-21 01:04:01

150

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Show that a function $N:\mathcal Y \rightarrow \mathbb R _+$ defined by $N(y)= \left\lvert \int_a^b y(x) dx \right\rvert$ doesn't define a norm...

Published on 21 Feb 2018 - 1:04

score 1.3k · Answer 8 · 2026-03-24 23:43:09

1.3k

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Proving continuity of a function in a normed space

Published on 24 Mar 2026 - 23:43

score 538 · Answer 9 · 2026-03-24 22:11:46

538

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Norms on quotient spaces

Published on 24 Mar 2026 - 22:11

score 95 · Answer 10 · 2026-03-26 01:12:10

95

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Can we always find $f_1$ and $f_2$ in $F$ such that $\lVert f_1 \rVert= \lVert f_2 \rVert=1$ and $\lVert f_1 + f_2 \rVert=2$

Published on 26 Mar 2026 - 1:12

score 11.4k · Answer 11 · 2026-03-25 10:52:13

11.4k

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L2-Norm of Gradient?

Published on 25 Mar 2026 - 10:52

score 56 · Answer 12 · 2018-02-22 18:45:47

56

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Exercise: Prove $\;L^2-$norm of a sequence of functions goes to $\;\infty\;$

Published on 22 Feb 2018 - 18:45

score 780 · Answer 13 · 2018-02-23 13:54:52

780

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Examples of norms essentially different from $p$-norms

Published on 23 Feb 2018 - 13:54

score 132 · Answer 14 · 2018-02-23 15:33:37

132

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Find different $f_1,f_2 \in F$ such that $\lVert f_1 \rVert = \lVert f_2 \rVert=1$ and $\lVert f_1 + f_2 \rVert =2$

Published on 23 Feb 2018 - 15:33

score 26 · Answer 15 · 2018-02-24 10:34:02

26

Views

Is the following a matrix norm?

Published on 24 Feb 2018 - 10:34

List Question

Upperbound with Frobenius and Euclidean Norms

False proof that infinite dimensional Banach space has no countable basis

How to show the Cauchy-Schwarz inequality $\langle x,y\rangle\leq \|y\|\|x\|_*$ for computing the Fenchel conjugate of a norm

Piecewise Holder functions

Minimal $\ell_\infty$ solution of underdetermined system of linear equations

Continuity of a function from norm space to R

Show that a function $N:\mathcal Y \rightarrow \mathbb R _+$ defined by $N(y)= \left\lvert \int_a^b y(x) dx \right\rvert$ doesn't define a norm...

Proving continuity of a function in a normed space

Norms on quotient spaces

Can we always find $f_1$ and $f_2$ in $F$ such that $\lVert f_1 \rVert= \lVert f_2 \rVert=1$ and $\lVert f_1 + f_2 \rVert=2$

L2-Norm of Gradient?

Exercise: Prove $\;L^2-$norm of a sequence of functions goes to $\;\infty\;$

Examples of norms essentially different from $p$-norms

Find different $f_1,f_2 \in F$ such that $\lVert f_1 \rVert = \lVert f_2 \rVert=1$ and $\lVert f_1 + f_2 \rVert =2$

Is the following a matrix norm?

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