Question

The differentiation process is unstable with the $||f||_{\infty}=\text{max}_{0\leq x\leq 1}|f(x)|$, where $f\in C^1[0,1]$.

score 164 · Answer 1 · 2026-04-16 21:22:24

164

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The differentiation process is unstable with the $||f||_{\infty}=\text{max}_{0\leq x\leq 1}|f(x)|$, where $f\in C^1[0,1]$.

Published on 16 Apr 2026 - 21:22

score 30 · Answer 2 · 2026-04-14 16:18:13

30

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Connectivity of the space of $l_p^n$s

Published on 14 Apr 2026 - 16:18

score 147 · Answer 3 · 2026-05-11 02:06:44

147

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Find norm of the operator $A: C[-1,1] \to C[-1,1]$, $(Ax)(t) = \int_{-1}^t x(s) ds - \int_0^1 s x(s) ds$

Published on 11 May 2026 - 2:06

score 56 · Answer 4 · 2026-04-14 15:04:10

56

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Why is $||\cdot||_1=\sum_{i=1}^n |x_i|$ not strictly subadditive (in $\mathbb{R}^2$)?

Published on 14 Apr 2026 - 15:04

score 81 · Answer 5 · 2026-05-10 11:20:51

81

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linear map between two completions of a vectors space: is onto?

Published on 10 May 2026 - 11:20

score 97 · Answer 6 · 2026-05-10 12:30:20

97

Views

Characterizing Ideals in C(X)

Published on 10 May 2026 - 12:30

score 348 · Answer 7 · 2026-04-11 21:50:37

348

Views

Frechet derivative of bilinear map

Published on 11 Apr 2026 - 21:50

score 164 · Answer 8 · 2026-04-12 07:15:28

164

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Limit involving norm of matrices

Published on 12 Apr 2026 - 7:15

score 210 · Answer 9 · 2026-05-10 12:28:54

210

Views

Closed subspace

Published on 10 May 2026 - 12:28

score 17k · Answer 10 · 2026-04-29 12:26:21

17k

Views

Operator norm calculation for simple matrix

Published on 29 Apr 2026 - 12:26

score 92 · Answer 11 · 2026-04-13 22:30:26

92

Views

Verifying two (simple) inequalities about projections

Published on 13 Apr 2026 - 22:30

score 550 · Answer 12 · 2026-04-10 21:46:41

550

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Is there a semi-norm that respects matrix similitary?

Published on 10 Apr 2026 - 21:46

score 117 · Answer 13 · 2026-05-10 15:25:47

117

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$\sup_{\|\,f\|_{L^2(\mu)}=1}\big(\int_X \varphi_1^2\, f^2\,d\mu + \int_X \varphi_2^2 \,f^2\,d\mu\big)=\big\|\varphi_1^2+\varphi_2^2\big\|_\infty$

Published on 10 May 2026 - 15:25

score 560 · Answer 14 · 2026-05-11 03:14:11

560

Views

Is Schatten p-norm a monotone ideal norm?

Published on 11 May 2026 - 3:14

score 43 · Answer 15 · 2026-04-14 06:52:51

43

Views

Conditions on matrices such that $\| \boldsymbol{Ax} \|_2 \geq \| \boldsymbol{Bx} \|_2$ is satisfied

Published on 14 Apr 2026 - 6:52

List Question

The differentiation process is unstable with the $||f||_{\infty}=\text{max}_{0\leq x\leq 1}|f(x)|$, where $f\in C^1[0,1]$.

Connectivity of the space of $l_p^n$s

Find norm of the operator $A: C[-1,1] \to C[-1,1]$, $(Ax)(t) = \int_{-1}^t x(s) ds - \int_0^1 s x(s) ds$

Why is $||\cdot||_1=\sum_{i=1}^n |x_i|$ not strictly subadditive (in $\mathbb{R}^2$)?

linear map between two completions of a vectors space: is onto?

Characterizing Ideals in C(X)

Frechet derivative of bilinear map

Limit involving norm of matrices

Closed subspace

Operator norm calculation for simple matrix

Verifying two (simple) inequalities about projections

Is there a semi-norm that respects matrix similitary?

$\sup_{\|\,f\|_{L^2(\mu)}=1}\big(\int_X \varphi_1^2\, f^2\,d\mu + \int_X \varphi_2^2 \,f^2\,d\mu\big)=\big\|\varphi_1^2+\varphi_2^2\big\|_\infty$

Is Schatten p-norm a monotone ideal norm?

Conditions on matrices such that $\| \boldsymbol{Ax} \|_2 \geq \| \boldsymbol{Bx} \|_2$ is satisfied

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