Question

Linear group action over an hermitian space.

score 41 · Answer 1 · 2026-04-12 06:14:10

41

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Linear group action over an hermitian space.

Published on 12 Apr 2026 - 6:14

score 4.1k · Answer 2 · 2026-04-15 04:41:30

4.1k

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prove that if $\lambda$ is an eigenvalue of T then $\bar\lambda$ is eigenvalue of $T^*$

Published on 15 Apr 2026 - 4:41

score 126 · Answer 3 · 2026-04-14 19:51:06

126

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Let V be an inner product space. If $ x⊥y $, then show that

Published on 14 Apr 2026 - 19:51

score 248 · Answer 4 · 2026-04-16 14:53:18

Let $z_1 = x_1 +iy_1 $ and $z_2 = x_2 +iy_2$ be two complex numbers. The dot product of $z_1$ and $z_2$ is defined by $< z_1 , z_2> = x_1x_2+y_1y_2$

score 122 · Answer 5 · 2026-04-17 03:34:39

122

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Need help with this proof of Cauchy-Schwarz inequality.

Published on 17 Apr 2026 - 3:34

score 371 · Answer 6 · 2026-04-14 01:19:55

371

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Prove a space is Hilbert

Published on 14 Apr 2026 - 1:19

score 382 · Answer 7 · 2026-04-15 01:20:28

382

Views

Find conjugate transpose (adjoint) of linear transform

Published on 15 Apr 2026 - 1:20

score 81 · Answer 8 · 2026-04-09 06:23:12

81

Views

Adjoints and Inner Product Spaces

Published on 09 Apr 2026 - 6:23

score 206 · Answer 9 · 2026-04-14 10:40:03

206

Views

If every inner product space can be converted into a norm space, then why is there a distinction between the two?

Published on 14 Apr 2026 - 10:40

score 40 · Answer 10 · 2026-04-17 06:26:49

40

Views

Find $k$ such that the vector with $w_n=1/(1+a_n k)$ is orthogonal to a given vector

Published on 17 Apr 2026 - 6:26

score 234 · Answer 11 · 2026-04-15 12:58:08

234

Views

Must unitary matrices satisfying this property commute?

Published on 15 Apr 2026 - 12:58

score 104 · Answer 12 · 2026-04-15 16:44:24

104

Views

General Proof that $\left< v, v \right> = \left|\left| v \right|\right|^2$

Published on 15 Apr 2026 - 16:44

score 2.9k · Answer 13 · 2026-04-14 13:23:02

2.9k

Views

Double orthogonal complement of any closed subspace is it self

Published on 14 Apr 2026 - 13:23

score 6.6k · Answer 14 · 2026-04-14 20:33:15

6.6k

Views

Determine if the triangle is right-angled using vectors.

Published on 14 Apr 2026 - 20:33

score 101 · Answer 15 · 2026-04-12 17:41:15

101

Views

Inequality involving inner product. $|\langle u,v\rangle+\overline{\langle u,v\rangle}|\le 2|\langle u,v\rangle|$

Published on 12 Apr 2026 - 17:41

List Question

Linear group action over an hermitian space.

prove that if $\lambda$ is an eigenvalue of T then $\bar\lambda$ is eigenvalue of $T^*$

Let V be an inner product space. If $ x⊥y $, then show that

Let $z_1 = x_1 +iy_1 $ and $z_2 = x_2 +iy_2$ be two complex numbers. The dot product of $z_1$ and $z_2$ is defined by $< z_1 , z_2> = x_1x_2+y_1y_2$

Need help with this proof of Cauchy-Schwarz inequality.

Prove a space is Hilbert

Find conjugate transpose (adjoint) of linear transform

Adjoints and Inner Product Spaces

If every inner product space can be converted into a norm space, then why is there a distinction between the two?

Find $k$ such that the vector with $w_n=1/(1+a_n k)$ is orthogonal to a given vector

Must unitary matrices satisfying this property commute?

General Proof that $\left< v, v \right> = \left|\left| v \right|\right|^2$

Double orthogonal complement of any closed subspace is it self

Determine if the triangle is right-angled using vectors.

Inequality involving inner product. $|\langle u,v\rangle+\overline{\langle u,v\rangle}|\le 2|\langle u,v\rangle|$

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