Question

Show: $(X,d_X)$ is complete $\Leftrightarrow $ $f(X)$ is closed in $(Y, d_Y)$ ($f: X \to Y$ is an isometric embedding)

score 459 · Answer 1 · 2026-03-28 12:14:54

459

Views

Show: $(X,d_X)$ is complete $\Leftrightarrow $ $f(X)$ is closed in $(Y, d_Y)$ ($f: X \to Y$ is an isometric embedding)

Published on 28 Mar 2026 - 12:14

score 75 · Answer 2 · 2016-06-13 10:30:59

75

Views

Extending a $q$-isometry

Published on 13 Jun 2016 - 10:30

score 119 · Answer 3 · 2016-06-17 10:10:42

119

Views

$B$ be an uncountable dimensional real Banach space and $T:B \to B$ be a surjective isometry such that $T(0)=0$ , then is $T$ linear?

Published on 17 Jun 2016 - 10:10

score 273 · Answer 4 · 2016-06-17 13:11:05

273

Views

$T:\mathbb R^n \to \mathbb R^n $ be an isometry , is $T$ surjective?

Published on 17 Jun 2016 - 13:11

score 627 · Answer 5 · 2016-06-17 14:46:53

627

Views

If every five point subset of a metric space can be isometrically embedded in the plane then is it possible for the metric space also?

Published on 17 Jun 2016 - 14:46

score 78 · Answer 6 · 2016-06-21 02:36:57

78

Views

Using isometric group to describe E7.

Published on 21 Jun 2016 - 2:36

score 259 · Answer 7 · 2026-03-26 19:37:43

259

Views

Proof of Isometry and Reflection

Published on 26 Mar 2026 - 19:37

score 1.1k · Answer 8 · 2026-03-22 00:44:49

1.1k

Views

What is special about glide reflection?

Published on 22 Mar 2026 - 0:44

score 90 · Answer 9 · 2016-06-27 08:14:29

90

Views

Why is this Isometry an rotation?

Published on 27 Jun 2016 - 8:14

score 346 · Answer 10 · 2016-06-27 11:22:18

346

Views

Proof that all isometries can be written under the form $Q(x)+v$

Published on 27 Jun 2016 - 11:22

score 51 · Answer 11 · 2016-06-27 14:48:19

51

Views

Proof of a theorem about isometries of $\mathbb{R^n}$

Published on 27 Jun 2016 - 14:48

score 465 · Answer 12 · 2026-03-28 15:46:11

465

Views

How to see the various hyperbolic $n$-spaces $\mathbb{H}^n$ aren't quasi-isometric?

Published on 28 Mar 2026 - 15:46

score 125 · Answer 13 · 2017-04-12 16:14:26

125

Views

Suppose U is an orthogonal matrix.

Published on 12 Apr 2017 - 16:14

score 68 · Answer 14 · 2017-04-14 01:13:36

68

Views

Characteristics of an Operator (T) on a Complex Inner-Product Space with $T^* = -T$

Published on 14 Apr 2017 - 1:13

score 228 · Answer 15 · 2017-04-14 10:45:09

228

Views

A continuous a.e orientation-preserving isometry is locally injective?

Published on 14 Apr 2017 - 10:45

List Question

Show: $(X,d_X)$ is complete $\Leftrightarrow $ $f(X)$ is closed in $(Y, d_Y)$ ($f: X \to Y$ is an isometric embedding)

Extending a $q$-isometry

$B$ be an uncountable dimensional real Banach space and $T:B \to B$ be a surjective isometry such that $T(0)=0$ , then is $T$ linear?

$T:\mathbb R^n \to \mathbb R^n $ be an isometry , is $T$ surjective?

If every five point subset of a metric space can be isometrically embedded in the plane then is it possible for the metric space also?

Using isometric group to describe E7.

Proof of Isometry and Reflection

What is special about glide reflection?

Why is this Isometry an rotation?

Proof that all isometries can be written under the form $Q(x)+v$

Proof of a theorem about isometries of $\mathbb{R^n}$

How to see the various hyperbolic $n$-spaces $\mathbb{H}^n$ aren't quasi-isometric?

Suppose U is an orthogonal matrix.

Characteristics of an Operator (T) on a Complex Inner-Product Space with $T^* = -T$

A continuous a.e orientation-preserving isometry is locally injective?

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