Question

Showing that $G$ is isomorphic to $\{1,-1\}\times \mathbb{R}$

score 56 · Answer 1 · 2015-11-14 00:32:43

56

Views

Showing that $G$ is isomorphic to $\{1,-1\}\times \mathbb{R}$

Published on 14 Nov 2015 - 0:32

score 370 · Answer 2 · 2015-11-16 19:24:38

370

Views

Why is the isometry of It\^o integral called so?

Published on 16 Nov 2015 - 19:24

score 1.1k · Answer 3 · 2015-11-19 20:17:04

1.1k

Views

What is an isometry in terms of the metric tensor, not distances?

Published on 19 Nov 2015 - 20:17

score 56 · Answer 4 · 2026-03-16 07:35:04

56

Views

Order of affine reflections (described with complex numbers operations)

Published on 16 Mar 2026 - 7:35

score 1.5k · Answer 5 · 2015-11-24 07:39:49

1.5k

Views

Show that $(l_1)^* \cong l_{\infty}$

Published on 24 Nov 2015 - 7:39

score 862 · Answer 6 · 2026-03-22 03:51:58

862

Views

Express rotation of the plane about a point as the product of a translation and a rotation about the origin

Published on 22 Mar 2026 - 3:51

score 260 · Answer 7 · 2026-03-07 10:55:08

260

Views

$s$ is a reflection of the plane about $x=1$. $r$ is a reflection across the x-axis.

Published on 07 Mar 2026 - 10:55

score 743 · Answer 8 · 2015-11-30 18:44:54

743

Views

If $T$ is invertible and $S$ is an isometry, is $TST^{-1}$ an isometry?

Published on 30 Nov 2015 - 18:44

score 74 · Answer 9 · 2015-12-02 01:13:04

74

Views

Power series of Isometries

Published on 02 Dec 2015 - 1:13

score 102 · Answer 10 · 2026-03-26 17:35:43

102

Views

What are we allowed to do when we know that two metric spaces are isometrically isomorphic?

Published on 26 Mar 2026 - 17:35

score 87 · Answer 11 · 2015-12-14 18:57:04

87

Views

Problem about convergence of linear operators leading to ergodic theorem proof

Published on 14 Dec 2015 - 18:57

score 131 · Answer 12 · 2026-03-28 01:53:44

131

Views

Isometries and Lines

Published on 28 Mar 2026 - 1:53

score 124 · Answer 13 · 2026-03-26 13:02:44

124

Views

Given $a,b \in S^n$, then there exists an isometry $f: S^n \rightarrow S^n$ such that $f(a) = b$

Published on 26 Mar 2026 - 13:02

score 2.5k · Answer 14 · 2026-03-26 17:30:10

2.5k

Views

Isometric isomorphism from $\ell^1$ to $c^*$

Published on 26 Mar 2026 - 17:30

score 414 · Answer 15 · 2015-12-19 14:40:36

414

Views

Hausdorff distance and isometry

Published on 19 Dec 2015 - 14:40

List Question

Showing that $G$ is isomorphic to $\{1,-1\}\times \mathbb{R}$

Why is the isometry of It\^o integral called so?

What is an isometry in terms of the metric tensor, not distances?

Order of affine reflections (described with complex numbers operations)

Show that $(l_1)^* \cong l_{\infty}$

Express rotation of the plane about a point as the product of a translation and a rotation about the origin

$s$ is a reflection of the plane about $x=1$. $r$ is a reflection across the x-axis.

If $T$ is invertible and $S$ is an isometry, is $TST^{-1}$ an isometry?

Power series of Isometries

What are we allowed to do when we know that two metric spaces are isometrically isomorphic?

Problem about convergence of linear operators leading to ergodic theorem proof

Isometries and Lines

Given $a,b \in S^n$, then there exists an isometry $f: S^n \rightarrow S^n$ such that $f(a) = b$

Isometric isomorphism from $\ell^1$ to $c^*$

Hausdorff distance and isometry

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