Question

If the inner product induces the l2 norm, what kind of non-inner product induces a general Lp norm where $p \neq 2$?

score 165 · Answer 1 · 2026-04-13 13:12:24

165

Views

If the inner product induces the l2 norm, what kind of non-inner product induces a general Lp norm where $p \neq 2$?

Published on 13 Apr 2026 - 13:12

score 32 · Answer 2 · 2026-04-15 15:51:15

32

Views

Can we infer that $\text{Im}(P)=S$ if $\Vert P(x)-x\Vert =\min\big\{\Vert y-x\Vert :y\in S\big\}$ for all $x\in H$?

Published on 15 Apr 2026 - 15:51

score 49 · Answer 3 · 2026-04-11 04:19:07

49

Views

A problem with inner products on Hilbert space

Published on 11 Apr 2026 - 4:19

score 38 · Answer 4 · 2026-04-15 09:13:35

38

Views

Can I always split a finite dimensional vector space on any subspace with any bilinear form?

Published on 15 Apr 2026 - 9:13

score 50 · Answer 5 · 2026-04-08 23:59:44

50

Views

Finding $T^{\perp}$!

Published on 08 Apr 2026 - 23:59

score 117 · Answer 6 · 2026-04-17 13:26:25

117

Views

Is vector subspace having a nontrivial orthogonal complement equivalent to it being dense?

Published on 17 Apr 2026 - 13:26

score 56 · Answer 7 · 2026-04-15 11:07:51

56

Views

How to show that this vector subspace is closed?

Published on 15 Apr 2026 - 11:07

score 59 · Answer 8 · 2026-03-26 03:18:38

59

Views

Kernel PCA similarity matrix analogy

Published on 26 Mar 2026 - 3:18

score 39 · Answer 9 · 2026-04-13 02:28:10

39

Views

Weird indexed inner product notation

Published on 13 Apr 2026 - 2:28

score 116 · Answer 10 · 2026-04-12 05:57:50

116

Views

How do I prove that the inner product operator is a metric?

Published on 12 Apr 2026 - 5:57

score 211 · Answer 11 · 2026-04-09 01:08:54

211

Views

Eigenvalue of self-adjoint

Published on 09 Apr 2026 - 1:08

score 301 · Answer 12 · 2026-04-12 09:08:33

301

Views

Why do you calculate the dot product that way?

Published on 12 Apr 2026 - 9:08

score 290 · Answer 13 · 2026-04-14 02:24:44

290

Views

Prove inner product of polynomials with complex coefficients

Published on 14 Apr 2026 - 2:24

score 103 · Answer 14 · 2026-04-15 05:29:15

103

Views

Is this notation for an inner product common?

Published on 15 Apr 2026 - 5:29

score 112 · Answer 15 · 2026-04-15 09:40:46

112

Views

Proving left-multiplication matrix is normal

Published on 15 Apr 2026 - 9:40

List Question

If the inner product induces the l2 norm, what kind of non-inner product induces a general Lp norm where $p \neq 2$?

Can we infer that $\text{Im}(P)=S$ if $\Vert P(x)-x\Vert =\min\big\{\Vert y-x\Vert :y\in S\big\}$ for all $x\in H$?

A problem with inner products on Hilbert space

Can I always split a finite dimensional vector space on any subspace with any bilinear form?

Finding $T^{\perp}$!

Is vector subspace having a nontrivial orthogonal complement equivalent to it being dense?

How to show that this vector subspace is closed?

Kernel PCA similarity matrix analogy

Weird indexed inner product notation

How do I prove that the inner product operator is a metric?

Eigenvalue of self-adjoint

Why do you calculate the dot product that way?

Prove inner product of polynomials with complex coefficients

Is this notation for an inner product common?

Proving left-multiplication matrix is normal

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