Question

If $x,y\in S_X$ and $\|x-y\|=\epsilon$ then there are sequences $x_n,y_n\in S_X$ such that $\|x_n-y_n\|>\epsilon $ and $x_n\to x, y_n\to y$

score 48 · Answer 1 · 2018-04-14 17:50:36

48

Views

If $x,y\in S_X$ and $\|x-y\|=\epsilon$ then there are sequences $x_n,y_n\in S_X$ such that $\|x_n-y_n\|>\epsilon $ and $x_n\to x, y_n\to y$

Published on 14 Apr 2018 - 17:50

score 48 · Answer 2 · 2026-03-25 06:07:10

48

Views

$\operatorname{rank}(A)=n$ then $\left\lVert{A(A^TA)^{-1}A^T}\right\rVert_2 = 1$

Published on 25 Mar 2026 - 6:07

score 97 · Answer 3 · 2026-03-25 19:07:19

97

Views

A point $x$ belongs to closure of linear span if(f) every bounded linear functional that vanishes on the subset $\{ x_k\}$ vanishes at $x$?

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score 292 · Answer 4 · 2026-03-25 03:01:40

292

Views

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score 18 · Answer 5 · 2026-03-23 09:46:20

18

Views

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Published on 23 Mar 2026 - 9:46

score 38 · Answer 6 · 2018-04-16 08:13:21

38

Views

Real analysis Math

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score 2.5k · Answer 7 · 2026-03-23 01:47:40

2.5k

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score 335 · Answer 8 · 2018-04-16 23:27:26

335

Views

Submultiplicity of Induced Norms

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score 50 · Answer 9 · 2026-03-25 23:38:14

50

Views

Confusion of a Claim in Talagrand's Paper

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score 35 · Answer 10 · 2018-04-17 13:20:11

35

Views

Show that $A\in \mathcal{B}(X_{2},X_{1}).$ and Compute the norm $\Vert A\Vert.$

Published on 17 Apr 2018 - 13:20

score 103 · Answer 11 · 2026-03-23 04:25:08

103

Views

On Gowers' approach of Green-Tao Theorem ($\mathcal{D}f$s span $L^q(\mathbb{Z}_N)$).

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score 114 · Answer 12 · 2026-03-24 20:36:55

114

Views

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score 428 · Answer 13 · 2026-03-24 22:17:18

428

Views

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score 5.2k · Answer 14 · 2026-03-25 06:21:04

5.2k

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Show that a matrix is invertible with norm less than one

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score 433 · Answer 15 · 2026-03-25 15:56:49

433

Views

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List Question

If $x,y\in S_X$ and $\|x-y\|=\epsilon$ then there are sequences $x_n,y_n\in S_X$ such that $\|x_n-y_n\|>\epsilon $ and $x_n\to x, y_n\to y$

$\operatorname{rank}(A)=n$ then $\left\lVert{A(A^TA)^{-1}A^T}\right\rVert_2 = 1$

A point $x$ belongs to closure of linear span if(f) every bounded linear functional that vanishes on the subset $\{ x_k\}$ vanishes at $x$?

Show that $\mathbf{X}_{tr} \leq \sqrt{nm} f(\mathbf{X})$

It suffices to do this when $||g||_{Y^*}=1$?

Real analysis Math

Spectral norm minimization

Submultiplicity of Induced Norms

Confusion of a Claim in Talagrand's Paper

Show that $A\in \mathcal{B}(X_{2},X_{1}).$ and Compute the norm $\Vert A\Vert.$

On Gowers' approach of Green-Tao Theorem ($\mathcal{D}f$s span $L^q(\mathbb{Z}_N)$).

Norm attaining functional for the difference of two vectors

Is there a reverse Hölder inequality for matrices?

Show that a matrix is invertible with norm less than one

Matrix norms using trace

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