Question

Does every infinite-dimensional inner product space have an orthonormal basis?

score 1.8k · Answer 1 · 2026-04-15 23:04:42

1.8k

Views

Does every infinite-dimensional inner product space have an orthonormal basis?

Published on 15 Apr 2026 - 23:04

score 54 · Answer 2 · 2026-04-12 11:44:55

54

Views

Adjoints and scalar product.

Published on 12 Apr 2026 - 11:44

score 96 · Answer 3 · 2026-04-17 02:01:57

96

Views

Is the proof of $V=U+U^\perp$ of the Cornell's teacher's handout problematic?

Published on 17 Apr 2026 - 2:01

score 80 · Answer 4 · 2026-04-14 20:38:13

80

Views

Vector space over the complex field

Published on 14 Apr 2026 - 20:38

score 570 · Answer 5 · 2026-04-14 21:40:14

570

Views

Inner products on vectors fields over $\mathbb Q$ and subfields of $\mathbb C$

Published on 14 Apr 2026 - 21:40

score 67 · Answer 6 · 2026-04-12 10:49:15

67

Views

Representation of a vector as a sum of two

Published on 12 Apr 2026 - 10:49

score 258 · Answer 7 · 2026-04-16 00:30:13

258

Views

Find k with the given vectors and if $\Vert ku + v\Vert = 13$

Published on 16 Apr 2026 - 0:30

score 787 · Answer 8 · 2026-04-13 19:05:06

787

Views

The orthogonal projection of v onto the subspace W is independent of the choice orthonormal basis

Published on 13 Apr 2026 - 19:05

score 45 · Answer 9 · 2026-04-15 01:24:11

45

Views

Find scalar product of vectors

Published on 15 Apr 2026 - 1:24

score 1.2k · Answer 10 · 2026-04-15 19:18:00

1.2k

Views

Let $\{v_1, v_2,...,v_n\}$ be a basis for an inner product space V. Show that the zero vector...

Published on 15 Apr 2026 - 19:18

score 197 · Answer 11 · 2026-04-10 18:09:02

197

Views

Question about an unusual inner product

Published on 10 Apr 2026 - 18:09

score 51 · Answer 12 · 2026-04-13 18:02:10

51

Views

Does an inner product exist for every base such that that base is orthonogal

Published on 13 Apr 2026 - 18:02

score 785 · Answer 13 · 2026-04-11 05:56:20

785

Views

Counterexample $(V^\perp )^\perp = V$ when $V$ is not a closed subspace

Published on 11 Apr 2026 - 5:56

score 95 · Answer 14 · 2026-04-15 18:12:54

95

Views

Proving an equality with a norm induced by an inner product

Published on 15 Apr 2026 - 18:12

score 233 · Answer 15 · 2026-04-11 13:49:39

233

Views

Understanding Cauchy–Bunyakovsky–Schwarz inequality.

Published on 11 Apr 2026 - 13:49

List Question

Does every infinite-dimensional inner product space have an orthonormal basis?

Adjoints and scalar product.

Is the proof of $V=U+U^\perp$ of the Cornell's teacher's handout problematic?

Vector space over the complex field

Inner products on vectors fields over $\mathbb Q$ and subfields of $\mathbb C$

Representation of a vector as a sum of two

Find k with the given vectors and if $\Vert ku + v\Vert = 13$

The orthogonal projection of v onto the subspace W is independent of the choice orthonormal basis

Find scalar product of vectors

Let $\{v_1, v_2,...,v_n\}$ be a basis for an inner product space V. Show that the zero vector...

Question about an unusual inner product

Does an inner product exist for every base such that that base is orthonogal

Counterexample $(V^\perp )^\perp = V$ when $V$ is not a closed subspace

Proving an equality with a norm induced by an inner product

Understanding Cauchy–Bunyakovsky–Schwarz inequality.

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