Question

Explanation of "weight function" of inner product in Hilbert space

score 5.5k · Answer 1 · 2026-04-09 08:59:47

5.5k

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Explanation of "weight function" of inner product in Hilbert space

Published on 09 Apr 2026 - 8:59

score 83 · Answer 2 · 2026-04-12 06:04:42

83

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How to decide if $Q(\underline u,\underline v) $ on $\mathbb R^2$ is inner product or not?

Published on 12 Apr 2026 - 6:04

score 2k · Answer 3 · 2026-04-16 20:15:09

2k

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What does it mean for an inner product to be conjugate linear in the second entry?

Published on 16 Apr 2026 - 20:15

score 819 · Answer 4 · 2026-04-15 16:53:04

819

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Why is the standard inner product on F^n equal to this?

Published on 15 Apr 2026 - 16:53

score 3.4k · Answer 5 · 2026-04-14 20:31:52

3.4k

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Describe all vectors $v = \pmatrix{x\\y}$ that are orthogonal to $u = \pmatrix{a\\b}

Published on 14 Apr 2026 - 20:31

score 355 · Answer 6 · 2016-02-08 08:10:29

355

Views

Cauchy like inequality $(5\alpha x+\alpha y+\beta x + 3\beta y)^2 \leq (5\alpha^2 + 2\alpha \beta +3\beta ^2)(5x^2+2xy+3y^2)$

Published on 08 Feb 2016 - 8:10

score 885 · Answer 7 · 2026-04-13 06:22:42

885

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Inner product in a direct sum of a dimensional space

Published on 13 Apr 2026 - 6:22

score 76 · Answer 8 · 2026-04-13 18:04:46

76

Views

I am trying to show an inequality involving the product of three inner product terms

Published on 13 Apr 2026 - 18:04

score 53 · Answer 9 · 2026-04-15 18:31:16

53

Views

How do I prove that for $\|T(x)\|=\|x\|$ for all $x$ in a vector space iff $\left<T(x),T(y)\right>=\left<x,y\right>$?

Published on 15 Apr 2026 - 18:31

score 270 · Answer 10 · 2026-04-10 01:38:32

270

Views

Orthogonal functions and different function arguments

Published on 10 Apr 2026 - 1:38

score 38 · Answer 11 · 2026-04-03 16:47:24

38

Views

What do Fourier Series for Other Symmetric Operators Look Like?

Published on 03 Apr 2026 - 16:47

score 72 · Answer 12 · 2026-04-10 18:14:47

72

Views

A simple way to solve that inner product and functional question

Published on 10 Apr 2026 - 18:14

score 813 · Answer 13 · 2026-04-14 18:59:00

813

Views

Can $\langle x,x \rangle$ be less than zero on an inner product space?

Published on 14 Apr 2026 - 18:59

score 204 · Answer 14 · 2026-04-16 02:32:17

204

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Proof: $x, y$ linear depending $ \Leftrightarrow|\langle x,y\rangle| = ||x|| ||y|| $

Published on 16 Apr 2026 - 2:32

score 1.8k · Answer 15 · 2026-04-16 00:04:09

1.8k

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Showing a orthogonal basis is complete

Published on 16 Apr 2026 - 0:04

List Question

Explanation of "weight function" of inner product in Hilbert space

How to decide if $Q(\underline u,\underline v) $ on $\mathbb R^2$ is inner product or not?

What does it mean for an inner product to be conjugate linear in the second entry?

Why is the standard inner product on F^n equal to this?

Describe all vectors $v = \pmatrix{x\\y}$ that are orthogonal to $u = \pmatrix{a\\b}

Cauchy like inequality $(5\alpha x+\alpha y+\beta x + 3\beta y)^2 \leq (5\alpha^2 + 2\alpha \beta +3\beta ^2)(5x^2+2xy+3y^2)$

Inner product in a direct sum of a dimensional space

I am trying to show an inequality involving the product of three inner product terms

How do I prove that for $\|T(x)\|=\|x\|$ for all $x$ in a vector space iff $\left<T(x),T(y)\right>=\left<x,y\right>$?

Orthogonal functions and different function arguments

What do Fourier Series for Other Symmetric Operators Look Like?

A simple way to solve that inner product and functional question

Can $\langle x,x \rangle$ be less than zero on an inner product space?

Proof: $x, y$ linear depending $ \Leftrightarrow|\langle x,y\rangle| = ||x|| ||y|| $

Showing a orthogonal basis is complete

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