Question

Proving that $J : \varphi \longmapsto J_{\varphi}$ is an isometric isomorphism of the Banach algebra $L_{\infty} (X,E).$

score 39 · Answer 1 · 2021-07-04 06:21:27

39

Views

Proving that $J : \varphi \longmapsto J_{\varphi}$ is an isometric isomorphism of the Banach algebra $L_{\infty} (X,E).$

Published on 04 Jul 2021 - 6:21

score 196 · Answer 2 · 2021-07-07 19:11:58

196

Views

What is an example of two Banach spaces $X,Y$ such that $X$ embeds isometrically but not linearly into $Y$?

Published on 07 Jul 2021 - 19:11

score 77 · Answer 3 · 2021-07-10 06:49:39

77

Views

find all isometries that commute with this linear application

Published on 10 Jul 2021 - 6:49

score 251 · Answer 4 · 2021-07-17 23:25:21

251

Views

Not every finite metric space embeds in an $\mathbb{R}^{k}$

Published on 17 Jul 2021 - 23:25

score 278 · Answer 5 · 2026-03-25 15:51:50

278

Views

Interpreting the isometries of a tetrahedron

Published on 25 Mar 2026 - 15:51

score 28 · Answer 6 · 2026-03-30 13:37:23

28

Views

Do Spherical Lenses Have Circle Symmetry?

Published on 30 Mar 2026 - 13:37

score 75 · Answer 7 · 2021-07-21 15:58:29

75

Views

Pointwise equality of codimension-zero immersions

Published on 21 Jul 2021 - 15:58

score 1k · Answer 8 · 2021-08-01 16:42:34

1k

Views

All Hilbert spaces are isometric to $l^2(E)$ - how?

Published on 01 Aug 2021 - 16:42

score 997 · Answer 9 · 2026-03-29 06:55:38

997

Views

Isometry groups of $\mathbb H^n(R)$ (hyperbolic spaces)

Published on 29 Mar 2026 - 6:55

score 42 · Answer 10 · 2021-08-05 18:41:47

42

Views

Alternating forms and isometries of the underlying vector space

Published on 05 Aug 2021 - 18:41

score 83 · Answer 11 · 2021-08-12 11:14:33

83

Views

Isometric map vs symmetry transformation in a finite-dimensional Hilbert space

Published on 12 Aug 2021 - 11:14

score 229 · Answer 12 · 2021-08-13 07:48:24

Does a purely Euclidean proof that an orientation preserving isometry is either a translation or a rotation about some point, exist?

score 98 · Answer 13 · 2021-08-18 10:52:40

98

Views

Shape whose group of isometries has order 7

Published on 18 Aug 2021 - 10:52

score 56 · Answer 14 · 2026-03-29 20:47:54

56

Views

Idea about isometric embedding in two dimension

Published on 29 Mar 2026 - 20:47

score 232 · Answer 15 · 2021-08-21 12:47:05

232

Views

Determining the type of isometry

Published on 21 Aug 2021 - 12:47

List Question

Proving that $J : \varphi \longmapsto J_{\varphi}$ is an isometric isomorphism of the Banach algebra $L_{\infty} (X,E).$

What is an example of two Banach spaces $X,Y$ such that $X$ embeds isometrically but not linearly into $Y$?

find all isometries that commute with this linear application

Not every finite metric space embeds in an $\mathbb{R}^{k}$

Interpreting the isometries of a tetrahedron

Do Spherical Lenses Have Circle Symmetry?

Pointwise equality of codimension-zero immersions

All Hilbert spaces are isometric to $l^2(E)$ - how?

Isometry groups of $\mathbb H^n(R)$ (hyperbolic spaces)

Alternating forms and isometries of the underlying vector space

Isometric map vs symmetry transformation in a finite-dimensional Hilbert space

Does a purely Euclidean proof that an orientation preserving isometry is either a translation or a rotation about some point, exist?

Shape whose group of isometries has order 7

Idea about isometric embedding in two dimension

Determining the type of isometry

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