List questions from isometry

Published on 22 Mar 2026 - 5:41

297

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Is the normed linear space $X$ isometrically isomorphic to $Y$, if there is a linear operator $T: X \to Y$ such that $\|T\|=1$?

Published on 05 Sep 2018 - 10:01

251

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Is the nonnegative orthant isometric to itself under orthogonal mapping?

Published on 25 Mar 2026 - 0:01

924

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$T$ is an isometry if and only if $\langle Tx, Ty \rangle = \langle x, y \rangle$

Published on 12 Sep 2018 - 9:49

321

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Surface with prescribed first fundamental form

Published on 12 Sep 2018 - 16:45

3.8k

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Is my proof that $l^1$ is isometrically isomorphic to $c_0^*$ correct?

Published on 25 Mar 2026 - 1:37

32

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Image of basis under rotation

Published on 20 Sep 2018 - 7:58

274

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Constant Gauss curvature $\Rightarrow$ homogeneous?

Published on 20 Sep 2018 - 14:12

357

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Isometric Triangles in Hyperbolic Plane

Published on 26 Sep 2018 - 18:49

574

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Question from Axler's Linear Algebra Done Right Regarding Isometries and Normal Operators

Published on 05 Oct 2018 - 15:57

2.8k

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How to transform points from a plane to a different plane?

Published on 24 Mar 2026 - 20:40

448

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Exists a discrete isometry group that's not finitely generated?

Published on 06 Oct 2018 - 23:52

131

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An isometry between totally geodesic submanifolds is smooth?

Published on 15 Oct 2018 - 23:49

48

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isometries of angles

Published on 16 Oct 2018 - 20:58

135

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Isometric embedding of $l_\infty$ to $L_\infty[0;1]$

Published on 21 Oct 2018 - 15:37

List Question

Example of not quasi-regular mapping

Is the normed linear space $X$ isometrically isomorphic to $Y$, if there is a linear operator $T: X \to Y$ such that $\|T\|=1$?

Is the nonnegative orthant isometric to itself under orthogonal mapping?

$T$ is an isometry if and only if $\langle Tx, Ty \rangle = \langle x, y \rangle$

Surface with prescribed first fundamental form

Is my proof that $l^1$ is isometrically isomorphic to $c_0^*$ correct?

Image of basis under rotation

Constant Gauss curvature $\Rightarrow$ homogeneous?

Isometric Triangles in Hyperbolic Plane

Question from Axler's Linear Algebra Done Right Regarding Isometries and Normal Operators

How to transform points from a plane to a different plane?

Exists a discrete isometry group that's not finitely generated?

An isometry between totally geodesic submanifolds is smooth?

isometries of angles

Isometric embedding of $l_\infty$ to $L_\infty[0;1]$

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