Question

How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$

score 138 · Answer 1 · 2026-04-13 20:46:24

138

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How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$

Published on 13 Apr 2026 - 20:46

score 533 · Answer 2 · 2026-04-11 22:18:57

533

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Does showing that a matrix over a complex inner product space is an isometry mean that it is a unitary matrix?

Published on 11 Apr 2026 - 22:18

score 20 · Answer 3 · 2026-04-05 23:41:51

20

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$\widehat{W}^{T}\varphi w_{1} = 0$?

Published on 05 Apr 2026 - 23:41

score 57 · Answer 4 · 2026-04-16 16:22:20

57

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Relatioship between Weight of inner product on Hilbert space and elements

Published on 16 Apr 2026 - 16:22

score 319 · Answer 5 · 2026-04-15 13:04:18

319

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Orthogonality of vectors and its dependence on the inner product.

Published on 15 Apr 2026 - 13:04

score 974 · Answer 6 · 2026-04-14 00:43:32

974

Views

Generalization of Cauchy-Schwarz to positive operators

Published on 14 Apr 2026 - 0:43

score 944 · Answer 7 · 2026-03-29 13:46:38

944

Views

Prove that a Vector Orthogonal to an Orthonormal Basis is the Zero Vector.

Published on 29 Mar 2026 - 13:46

score 103 · Answer 8 · 2026-04-15 18:51:34

103

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Subset of an n-dimensional inner product space containing 2n elements

Published on 15 Apr 2026 - 18:51

score 147 · Answer 9 · 2026-03-29 03:44:36

147

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Adjoint Transformation

Published on 29 Mar 2026 - 3:44

score 69 · Answer 10 · 2026-04-16 06:27:26

69

Views

Proving there is an $n\times n$ symmetric matrix satisfying $\langle x,y \rangle = [x]_B^TA[y]_B$

Published on 16 Apr 2026 - 6:27

score 63 · Answer 11 · 2026-04-15 02:52:49

63

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u,v real inner product space, express terms

Published on 15 Apr 2026 - 2:52

score 2.1k · Answer 12 · 2026-04-10 21:57:13

2.1k

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Prove any polynomial of degree n that is orthogonal to ${1, x, ..., x^{n-1}}$ is a constant multiple of a Legendre Polynomial.

Published on 10 Apr 2026 - 21:57

score 72 · Answer 13 · 2026-04-16 15:28:59

72

Views

Differentiating the map $x\mapsto x/\langle x,x\rangle$ on an inner product space

Published on 16 Apr 2026 - 15:28

score 653 · Answer 14 · 2026-04-11 23:10:08

653

Views

Proving that a transformation is Unitary

Published on 11 Apr 2026 - 23:10

score 150 · Answer 15 · 2026-04-09 01:09:54

150

Views

Proving inequality for norm of linear transformation

Published on 09 Apr 2026 - 1:09

List Question

How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$

Does showing that a matrix over a complex inner product space is an isometry mean that it is a unitary matrix?

$\widehat{W}^{T}\varphi w_{1} = 0$?

Relatioship between Weight of inner product on Hilbert space and elements

Orthogonality of vectors and its dependence on the inner product.

Generalization of Cauchy-Schwarz to positive operators

Prove that a Vector Orthogonal to an Orthonormal Basis is the Zero Vector.

Subset of an n-dimensional inner product space containing 2n elements

Adjoint Transformation

Proving there is an $n\times n$ symmetric matrix satisfying $\langle x,y \rangle = [x]_B^TA[y]_B$

u,v real inner product space, express terms

Prove any polynomial of degree n that is orthogonal to ${1, x, ..., x^{n-1}}$ is a constant multiple of a Legendre Polynomial.

Differentiating the map $x\mapsto x/\langle x,x\rangle$ on an inner product space

Proving that a transformation is Unitary

Proving inequality for norm of linear transformation

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