Question

Exist a constant that only depends of a power and dimension that bounds the euclidean norm.

score 47 · Answer 1 · 2026-03-28 07:38:33

47

Views

Exist a constant that only depends of a power and dimension that bounds the euclidean norm.

Published on 28 Mar 2026 - 7:38

score 92 · Answer 2 · 2026-03-25 04:58:45

92

Views

For a general norm on $\mathbb{R}^d$, how can the intersection of a ball's boundary and a cone be contained in a $(d-1)$-hyperplane?

Published on 25 Mar 2026 - 4:58

score 208 · Answer 3 · 2019-04-04 15:24:02

208

Views

Does anyone know this inequality $\big\|x-y\big\|^2\geq \big\|x\big\|^2+\big\|y\big\|^2-2\big\|x\big\|\big\|y\big\|$

Published on 04 Apr 2019 - 15:24

score 77 · Answer 4 · 2019-04-05 06:44:56

77

Views

1 and inf norm matrix inequality?

Published on 05 Apr 2019 - 6:44

score 1.6k · Answer 5 · 2019-04-05 16:32:04

1.6k

Views

Dual norm of the norm induced by inner product

Published on 05 Apr 2019 - 16:32

score 70 · Answer 6 · 2019-04-06 09:05:13

70

Views

Variants of The Polarization Identity

Published on 06 Apr 2019 - 9:05

score 210 · Answer 7 · 2026-03-30 03:34:53

210

Views

How to minimize $\| c \mathbf{x} - \mathbf{y}\|_1$ without using linear programming?

Published on 30 Mar 2026 - 3:34

score 325 · Answer 8 · 2026-03-30 23:20:28

325

Views

How to minimize $\| x {\bf a} - {\bf b} \|_1$ without using linear programming?

Published on 30 Mar 2026 - 23:20

score 55 · Answer 9 · 2026-03-25 23:53:03

55

Views

Is the space of all infinitesimal numeric sequences complete?

Published on 25 Mar 2026 - 23:53

score 484 · Answer 10 · 2019-04-06 19:01:35

484

Views

X- normed space, Y - proper subspace. There exists such y, that ||x-y|| = dist(x,Y).

Published on 06 Apr 2019 - 19:01

score 424 · Answer 11 · 2019-04-06 21:17:52

424

Views

Norm Topologies on an Infinite Dimensional Vector Space

Published on 06 Apr 2019 - 21:17

score 86 · Answer 12 · 2026-03-27 11:48:55

86

Views

Extending $\|H^{\frac{1}{2}}XK^{\frac{1}{2}}\|\leq\frac{1}{2}\|HX+XK\|$ from matrices to operators

Published on 27 Mar 2026 - 11:48

score 296 · Answer 13 · 2026-03-25 12:55:33

296

Views

Proof of the Alaoglu Theorem

Published on 25 Mar 2026 - 12:55

score 31 · Answer 14 · 2019-04-08 05:03:05

31

Views

$L: \Bbb{R}^n \rightarrow \Bbb{R}^m$ be the linear mapping then $||L|| = $ max$_{1 \leq i \leq m, 1 \leq j \leq n}$ $|a_{ij}|$.

Published on 08 Apr 2019 - 5:03

score 742 · Answer 15 · 2026-03-27 06:11:09

742

Views

Trace Norm / Nuclear Norm: How to verify?

Published on 27 Mar 2026 - 6:11

List Question

Exist a constant that only depends of a power and dimension that bounds the euclidean norm.

For a general norm on $\mathbb{R}^d$, how can the intersection of a ball's boundary and a cone be contained in a $(d-1)$-hyperplane?

Does anyone know this inequality $\big\|x-y\big\|^2\geq \big\|x\big\|^2+\big\|y\big\|^2-2\big\|x\big\|\big\|y\big\|$

1 and inf norm matrix inequality?

Dual norm of the norm induced by inner product

Variants of The Polarization Identity

How to minimize $\| c \mathbf{x} - \mathbf{y}\|_1$ without using linear programming?

How to minimize $\| x {\bf a} - {\bf b} \|_1$ without using linear programming?

Is the space of all infinitesimal numeric sequences complete?

X- normed space, Y - proper subspace. There exists such y, that ||x-y|| = dist(x,Y).

Norm Topologies on an Infinite Dimensional Vector Space

Extending $\|H^{\frac{1}{2}}XK^{\frac{1}{2}}\|\leq\frac{1}{2}\|HX+XK\|$ from matrices to operators

Proof of the Alaoglu Theorem

$L: \Bbb{R}^n \rightarrow \Bbb{R}^m$ be the linear mapping then $||L|| = $ max$_{1 \leq i \leq m, 1 \leq j \leq n}$ $|a_{ij}|$.

Trace Norm / Nuclear Norm: How to verify?

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