Question

Prove that exists only one scalar product $\langle \ , \ \rangle$ in $\mathbb{R}^3$ that has $u, v,w$ as orthonormal basis

score 59 · Answer 1 · 2026-03-30 06:32:07

59

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Prove that exists only one scalar product $\langle \ , \ \rangle$ in $\mathbb{R}^3$ that has $u, v,w$ as orthonormal basis

Published on 30 Mar 2026 - 6:32

score 76 · Answer 2 · 2021-03-21 19:31:39

76

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column span of a orthogonalized matrix is the same as the one of the original matrix?

Published on 21 Mar 2021 - 19:31

score 28 · Answer 3 · 2021-04-03 22:42:44

28

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Representing x by orthonormal vectors

Published on 03 Apr 2021 - 22:42

score 76 · Answer 4 · 2021-04-04 18:46:32

76

Views

Prove that V is finite dimensional

Published on 04 Apr 2021 - 18:46

score 75 · Answer 5 · 2021-04-05 14:27:57

75

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Determine the orthonormal vector

Published on 05 Apr 2021 - 14:27

score 161 · Answer 6 · 2021-04-07 16:10:27

161

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showing that $Te_n \to 0$ in a Hilbert space.

Published on 07 Apr 2021 - 16:10

score 69 · Answer 7 · 2021-04-08 06:02:52

69

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Finding basis of w = (a,b,b)

Published on 08 Apr 2021 - 6:02

score 738 · Answer 8 · 2021-04-16 10:20:37

738

Views

What is the outward normal vector at the end points of the one-dimensional line?

Published on 16 Apr 2021 - 10:20

score 159 · Answer 9 · 2021-04-16 15:17:51

159

Views

Let $Te_n=e_{n+1}$ show that $T:H\to H$ is isometric.

Published on 16 Apr 2021 - 15:17

score 154 · Answer 10 · 2026-03-30 13:03:29

154

Views

Showing some claims in operator theory (isometry..)

Published on 30 Mar 2026 - 13:03

score 129 · Answer 11 · 2021-04-20 17:43:15

129

Views

Finding an orthonormal base wrt an inner product

Published on 20 Apr 2021 - 17:43

score 917 · Answer 12 · 2021-04-22 06:53:42

917

Views

Orthonormal basis for boolean functions

Published on 22 Apr 2021 - 6:53

score 168 · Answer 13 · 2026-03-26 22:15:13

168

Views

Why can a self-adjoint compact operator on a Hilbert space be approximated by the linear combination of rank 1 operators?

Published on 26 Mar 2026 - 22:15

score 200 · Answer 14 · 2021-04-27 08:15:16

200

Views

create orthogonal matrix from given rows

Published on 27 Apr 2021 - 8:15

score 142 · Answer 15 · 2026-03-31 12:16:16

142

Views

Let $H$ a separable Hilbert Space with a ortonormal base $\{e_n: n \in\mathbb{N}\}$. Prove that $\exists ! T\in \mathcal{B}(H): T(e_n)=d_ne_n.$

Published on 31 Mar 2026 - 12:16

List Question

Prove that exists only one scalar product $\langle \ , \ \rangle$ in $\mathbb{R}^3$ that has $u, v,w$ as orthonormal basis

column span of a orthogonalized matrix is the same as the one of the original matrix?

Representing x by orthonormal vectors

Prove that V is finite dimensional

Determine the orthonormal vector

showing that $Te_n \to 0$ in a Hilbert space.

Finding basis of w = (a,b,b)

What is the outward normal vector at the end points of the one-dimensional line?

Let $Te_n=e_{n+1}$ show that $T:H\to H$ is isometric.

Showing some claims in operator theory (isometry..)

Finding an orthonormal base wrt an inner product

Orthonormal basis for boolean functions

Why can a self-adjoint compact operator on a Hilbert space be approximated by the linear combination of rank 1 operators?

create orthogonal matrix from given rows

Let $H$ a separable Hilbert Space with a ortonormal base $\{e_n: n \in\mathbb{N}\}$. Prove that $\exists ! T\in \mathcal{B}(H): T(e_n)=d_ne_n.$

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