Question

Is there only one way to define a norm from an inner product?

score 91 · Answer 1 · 2026-04-11 02:52:56

91

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Is there only one way to define a norm from an inner product?

Published on 11 Apr 2026 - 2:52

score 1.6k · Answer 2 · 2026-04-14 23:52:20

1.6k

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What does "canonical" mean in vector space?

Published on 14 Apr 2026 - 23:52

score 139 · Answer 3 · 2026-04-13 23:12:18

139

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The probability of measuring the control qubit in zero in a quantum circuit

Published on 13 Apr 2026 - 23:12

score 63 · Answer 4 · 2026-04-16 04:45:02

63

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Is it possible to compute the volume of a cone on a inner product space?

Published on 16 Apr 2026 - 4:45

score 1.1k · Answer 5 · 2026-04-13 12:39:13

1.1k

Views

Showing two norms on $\mathbb{R}^n$ are dual

Published on 13 Apr 2026 - 12:39

score 31 · Answer 6 · 2026-04-13 22:17:50

31

Views

Inner product on quantized enveloping algebra

Published on 13 Apr 2026 - 22:17

score 53 · Answer 7 · 2026-04-16 04:43:35

53

Views

$|u+w| = |u| + |w|$ iff $\langle u,w \rangle =0$.

Published on 16 Apr 2026 - 4:43

score 135 · Answer 8 · 2026-04-16 13:03:19

135

Views

if $\langle v , w \rangle = \sqrt {\langle v,v \rangle \langle w, w \rangle}$ then $v=kw$, $k \in \mathbb R$.

Published on 16 Apr 2026 - 13:03

score 32 · Answer 9 · 2026-04-12 20:48:19

32

Views

Do Algebraic Extensions have Inner Products?

Published on 12 Apr 2026 - 20:48

score 2.2k · Answer 10 · 2026-04-17 15:04:38

2.2k

Views

Why are inner product spaces only defined on $\Bbb R$ or $\Bbb C$?

Published on 17 Apr 2026 - 15:04

score 150 · Answer 11 · 2026-04-12 09:36:09

150

Views

Counterexample of triangle inequality property for a Real Euclidean Space

Published on 12 Apr 2026 - 9:36

score 179 · Answer 12 · 2026-04-07 23:26:36

179

Views

Orthogonality in Hilbert Spaces

Published on 07 Apr 2026 - 23:26

score 203 · Answer 13 · 2026-04-12 02:06:15

203

Views

Forming the orthogonal space is just a special case of forming a polar set?

Published on 12 Apr 2026 - 2:06

score 102 · Answer 14 · 2026-04-16 10:32:33

102

Views

How would one prove that the map $\langle \cdot, \cdot \rangle: (f,g) \mapsto \int_{a}^{b}f(t)g(t)dt$ is an inner product?

Published on 16 Apr 2026 - 10:32

score 94 · Answer 15 · 2026-04-18 01:51:52

94

Views

Prove $(\sum\limits_k a_k b_k)^2 \leq \sum\limits_k b_k a_k^2 \sum\limits_k b_k$ using Cauchy Schwarz

Published on 18 Apr 2026 - 1:51

List Question

Is there only one way to define a norm from an inner product?

What does "canonical" mean in vector space?

The probability of measuring the control qubit in zero in a quantum circuit

Is it possible to compute the volume of a cone on a inner product space?

Showing two norms on $\mathbb{R}^n$ are dual

Inner product on quantized enveloping algebra

$|u+w| = |u| + |w|$ iff $\langle u,w \rangle =0$.

if $\langle v , w \rangle = \sqrt {\langle v,v \rangle \langle w, w \rangle}$ then $v=kw$, $k \in \mathbb R$.

Do Algebraic Extensions have Inner Products?

Why are inner product spaces only defined on $\Bbb R$ or $\Bbb C$?

Counterexample of triangle inequality property for a Real Euclidean Space

Orthogonality in Hilbert Spaces

Forming the orthogonal space is just a special case of forming a polar set?

How would one prove that the map $\langle \cdot, \cdot \rangle: (f,g) \mapsto \int_{a}^{b}f(t)g(t)dt$ is an inner product?

Prove $(\sum\limits_k a_k b_k)^2 \leq \sum\limits_k b_k a_k^2 \sum\limits_k b_k$ using Cauchy Schwarz

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