Question

Prove that the orthogonal projection operator is idempotent

score 7k · Answer 1 · 2026-03-29 15:14:48

7k

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Prove that the orthogonal projection operator is idempotent

Published on 29 Mar 2026 - 15:14

score 1.1k · Answer 2 · 2026-03-29 15:16:40

1.1k

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Orthogonal Projection - property of an orthogonal operator or something that needs to be proven?

Published on 29 Mar 2026 - 15:16

score 50 · Answer 3 · 2026-04-14 01:24:29

50

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Bilinear form over C

Published on 14 Apr 2026 - 1:24

score 88 · Answer 4 · 2026-03-28 15:56:06

88

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Problem about convergence of linear operators leading to ergodic theorem proof

Published on 28 Mar 2026 - 15:56

score 175 · Answer 5 · 2026-04-09 19:42:49

175

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Show that the following operator (on a Hilbert space) is continuous.

Published on 09 Apr 2026 - 19:42

score 419 · Answer 6 · 2026-04-14 04:34:06

419

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inner product and hermitian matrices

Published on 14 Apr 2026 - 4:34

score 180 · Answer 7 · 2026-04-11 04:23:09

180

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Integration involving Inner Product

Published on 11 Apr 2026 - 4:23

score 156 · Answer 8 · 2026-04-14 17:01:06

156

Views

Find an example of an infinite dimensional vector space for which the following conditions of matrix convergence are not equivalent.

Published on 14 Apr 2026 - 17:01

score 63 · Answer 9 · 2026-04-12 12:29:36

63

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Prove an inequality involving a norm

Published on 12 Apr 2026 - 12:29

score 1k · Answer 10 · 2026-04-13 21:02:46

1k

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Inner product space, prove $\det(A) \geq 0$ given a Gram matrix $A$

Published on 13 Apr 2026 - 21:02

score 115 · Answer 11 · 2026-04-16 07:07:27

115

Views

Show that $\overline{[S]}^{\bot}=S^{\bot}$, for any subset of a inner product space.

Published on 16 Apr 2026 - 7:07

score 1k · Answer 12 · 2026-04-12 16:16:12

1k

Views

Linear transformations preserve the squared sum of norms of orthonormal bases

Published on 12 Apr 2026 - 16:16

score 1.2k · Answer 13 · 2026-04-17 10:43:38

1.2k

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What is the rule for using $| \cdot |$ and $\| \cdot \|$ in Cauchy-Schwarz inequality

Published on 17 Apr 2026 - 10:43

score 190 · Answer 14 · 2026-04-15 15:59:05

190

Views

Proof that $\langle x, y\rangle = x \cdot A \cdot y^{*}$ is an inner product.

Published on 15 Apr 2026 - 15:59

score 61 · Answer 15 · 2026-04-16 06:23:24

61

Views

Is this proof of $|x| \leq \sum |x_i|$ correct, incorrect, or flawed?

Published on 16 Apr 2026 - 6:23

List Question

Prove that the orthogonal projection operator is idempotent

Orthogonal Projection - property of an orthogonal operator or something that needs to be proven?

Bilinear form over C

Problem about convergence of linear operators leading to ergodic theorem proof

Show that the following operator (on a Hilbert space) is continuous.

inner product and hermitian matrices

Integration involving Inner Product

Find an example of an infinite dimensional vector space for which the following conditions of matrix convergence are not equivalent.

Prove an inequality involving a norm

Inner product space, prove $\det(A) \geq 0$ given a Gram matrix $A$

Show that $\overline{[S]}^{\bot}=S^{\bot}$, for any subset of a inner product space.

Linear transformations preserve the squared sum of norms of orthonormal bases

What is the rule for using $| \cdot |$ and $\| \cdot \|$ in Cauchy-Schwarz inequality

Proof that $\langle x, y\rangle = x \cdot A \cdot y^{*}$ is an inner product.

Is this proof of $|x| \leq \sum |x_i|$ correct, incorrect, or flawed?

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