Question

Constructing an orthonormal basis with complex numbers?

score 608 · Answer 1 · 2026-04-11 09:58:15

608

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Constructing an orthonormal basis with complex numbers?

Published on 11 Apr 2026 - 9:58

score 1k · Answer 2 · 2026-04-17 15:40:10

1k

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In $\mathbb{R^2}$, $\langle (x_1,y_1), (x_2,y_2) \rangle=x_1x_2-\alpha(x_1y_2+x_2y_1)+y_1y_2$ is an inner product

Published on 17 Apr 2026 - 15:40

score 92 · Answer 3 · 2026-04-15 15:47:42

92

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Orthogonality of (M)perp and (N)perp, for two linear subsets of Hilbert Space H

Published on 15 Apr 2026 - 15:47

score 96 · Answer 4 · 2026-04-15 04:16:23

96

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Show that $\sum_{n=1}^\infty |\langle x,a_n\rangle|^2 \le \|x\|^2$

Published on 15 Apr 2026 - 4:16

score 140 · Answer 5 · 2026-04-16 04:35:01

140

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In an inner product space X, if ||λx + (1-λ)y|| = ||x|| for all λ ∈ [0, 1] then x = y

Published on 16 Apr 2026 - 4:35

score 2.8k · Answer 6 · 2026-04-13 19:20:05

2.8k

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Finding the complex conjugate of the vector space of linear polynomials in x that don't have a complex number

Published on 13 Apr 2026 - 19:20

score 2k · Answer 7 · 2026-04-13 14:14:46

2k

Views

Showing inner product of integral function

Published on 13 Apr 2026 - 14:14

score 94 · Answer 8 · 2026-04-16 12:11:31

94

Views

Inner Product Space Inequality

Published on 16 Apr 2026 - 12:11

score 44 · Answer 9 · 2026-04-09 08:35:02

44

Views

Is $f_{y}$ a bounded linear map?

Published on 09 Apr 2026 - 8:35

score 52 · Answer 10 · 2026-04-09 20:06:25

52

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Quick question on inner products and linear operators

Published on 09 Apr 2026 - 20:06

score 99 · Answer 11 · 2026-04-13 08:55:02

99

Views

About an inequality in inner product space with the best approximation property

Published on 13 Apr 2026 - 8:55

score 167 · Answer 12 · 2026-04-16 10:59:05

167

Views

For a normed determinant function $\Delta$, show that the equality $|x|^2 |y|^2 - (x,y)^2 = \Delta(x,y)$ holds

Published on 16 Apr 2026 - 10:59

score 2.7k · Answer 13 · 2026-04-14 09:17:28

2.7k

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Ad/ad- invariant inner products on a Lie Algebra?

Published on 14 Apr 2026 - 9:17

score 55 · Answer 14 · 2026-04-12 06:50:34

55

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Prove that there does not exists $w\in V$ such that $||v-w||\le4$ and $||u-w||\le4$.

Published on 12 Apr 2026 - 6:50

score 547 · Answer 15 · 2026-04-16 01:29:16

547

Views

Characterization of Parseval Frame

Published on 16 Apr 2026 - 1:29

List Question

Constructing an orthonormal basis with complex numbers?

In $\mathbb{R^2}$, $\langle (x_1,y_1), (x_2,y_2) \rangle=x_1x_2-\alpha(x_1y_2+x_2y_1)+y_1y_2$ is an inner product

Orthogonality of (M)perp and (N)perp, for two linear subsets of Hilbert Space H

Show that $\sum_{n=1}^\infty |\langle x,a_n\rangle|^2 \le \|x\|^2$

In an inner product space X, if ||λx + (1-λ)y|| = ||x|| for all λ ∈ [0, 1] then x = y

Finding the complex conjugate of the vector space of linear polynomials in x that don't have a complex number

Showing inner product of integral function

Inner Product Space Inequality

Is $f_{y}$ a bounded linear map?

Quick question on inner products and linear operators

About an inequality in inner product space with the best approximation property

For a normed determinant function $\Delta$, show that the equality $|x|^2 |y|^2 - (x,y)^2 = \Delta(x,y)$ holds

Ad/ad- invariant inner products on a Lie Algebra?

Prove that there does not exists $w\in V$ such that $||v-w||\le4$ and $||u-w||\le4$.

Characterization of Parseval Frame

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