Question

To show that orthogonal complement of a set A is closed.

score 10.8k · Answer 1 · 2026-04-13 03:10:19

10.8k

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To show that orthogonal complement of a set A is closed.

Published on 13 Apr 2026 - 3:10

score 2k · Answer 2 · 2026-04-13 10:21:57

2k

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Enlarge $S$ to an orthonormal basis

Published on 13 Apr 2026 - 10:21

score 62 · Answer 3 · 2026-04-12 19:12:14

62

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Possible existence of weight function $\rho (t)$

Published on 12 Apr 2026 - 19:12

score 141 · Answer 4 · 2015-02-24 13:01:43

141

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Why is $\langle f+g, f+g \rangle = \langle f, f \rangle + \langle g, f \rangle + \langle f, g \rangle + \langle g,g\rangle$?

Published on 24 Feb 2015 - 13:01

score 60 · Answer 5 · 2026-04-13 15:20:50

60

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Little trouble with inner product space

Published on 13 Apr 2026 - 15:20

score 2.8k · Answer 6 · 2026-04-10 23:51:35

2.8k

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How to prove $ A^{\perp} $ is a closed linear subspace?

Published on 10 Apr 2026 - 23:51

score 1.2k · Answer 7 · 2026-04-12 23:36:44

1.2k

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Proof of the Cauchy-Schwarz inequality in Axler's Linear Algebra Done Right

Published on 12 Apr 2026 - 23:36

score 90 · Answer 8 · 2026-03-25 16:14:04

90

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Show that for every real-valued $L^2$ function $u$ on $S^1$ there is a real-valued $v$ in the same space such that $u + iv\in \widetilde{\mathbf H}^2$

Published on 25 Mar 2026 - 16:14

score 130 · Answer 9 · 2026-04-09 04:14:44

130

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Inner product in Hilbert spaces

Published on 09 Apr 2026 - 4:14

score 102 · Answer 10 · 2015-03-04 19:27:08

102

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If $T^2=T$ then determine whether $\ker T=\operatorname{Range}\,(T)^\perp$.

Published on 04 Mar 2015 - 19:27

score 4.7k · Answer 11 · 2026-04-13 12:16:54

4.7k

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What does orthogonality mean in function space?

Published on 13 Apr 2026 - 12:16

score 713 · Answer 12 · 2026-04-11 15:00:54

713

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Generalization of inner product spaces (analogue to uniform spaces/locally convex spaces)

Published on 11 Apr 2026 - 15:00

score 1.3k · Answer 13 · 2015-03-06 09:57:56

1.3k

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Prove that the norm in an inner product space is $ \ge 0$

Published on 06 Mar 2015 - 9:57

score 1.9k · Answer 14 · 2015-03-07 15:27:10

1.9k

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Inner product on $C[0,1]$

Published on 07 Mar 2015 - 15:27

score 4.8k · Answer 15 · 2026-04-12 19:00:05

4.8k

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Question about inner product space and positive definite matrix

Published on 12 Apr 2026 - 19:00

List Question

To show that orthogonal complement of a set A is closed.

Enlarge $S$ to an orthonormal basis

Possible existence of weight function $\rho (t)$

Why is $\langle f+g, f+g \rangle = \langle f, f \rangle + \langle g, f \rangle + \langle f, g \rangle + \langle g,g\rangle$?

Little trouble with inner product space

How to prove $ A^{\perp} $ is a closed linear subspace?

Proof of the Cauchy-Schwarz inequality in Axler's Linear Algebra Done Right

Show that for every real-valued $L^2$ function $u$ on $S^1$ there is a real-valued $v$ in the same space such that $u + iv\in \widetilde{\mathbf H}^2$

Inner product in Hilbert spaces

If $T^2=T$ then determine whether $\ker T=\operatorname{Range}\,(T)^\perp$.

What does orthogonality mean in function space?

Generalization of inner product spaces (analogue to uniform spaces/locally convex spaces)

Prove that the norm in an inner product space is $ \ge 0$

Inner product on $C[0,1]$

Question about inner product space and positive definite matrix

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