Question

Does my theorem capture the idea that "For topological questions, the sets $\mathbb C^m$ and $\mathbb R^{2m}$ can be identified"?

score 61 · Answer 1 · 2019-08-10 06:00:43

61

Views

Does my theorem capture the idea that "For topological questions, the sets $\mathbb C^m$ and $\mathbb R^{2m}$ can be identified"?

Published on 10 Aug 2019 - 6:00

score 129 · Answer 2 · 2026-03-26 09:27:02

129

Views

What is the $\ell^2$ analogue of this $\ell^1$ property?

Published on 26 Mar 2026 - 9:27

score 70 · Answer 3 · 2019-08-11 20:54:18

70

Views

Completing a vector space WRT $2$ different norms

Published on 11 Aug 2019 - 20:54

score 101 · Answer 4 · 2026-03-26 06:15:17

101

Views

Problem II.3.12: Prove that $\|x-p_{F}(x)\| = \inf_{y \in F} \|x-y\|$ for an orthonormal system in an inner product space

Published on 26 Mar 2026 - 6:15

score 275 · Answer 5 · 2019-08-14 01:15:14

275

Views

Operator norm of ABC where B is a PSD matrix

Published on 14 Aug 2019 - 1:15

score 516 · Answer 6 · 2026-03-25 19:12:09

516

Views

Prove that $(\mathbb{R}^2,d_2)$ and $(\mathbb{R}^2,d_1)$ are not isometric, where $d_2$ is euclidean metric and $d_1$ is absolute value metric.

Published on 25 Mar 2026 - 19:12

score 103 · Answer 7 · 2026-03-28 08:47:07

103

Views

Inequality Constrained Least Squares Problem - Trust Region Sub Problem

Published on 28 Mar 2026 - 8:47

score 656 · Answer 8 · 2026-03-28 17:04:54

656

Views

Norm of Finite Product of Normed Spaces generates Product Topology

Published on 28 Mar 2026 - 17:04

score 190 · Answer 9 · 2026-03-26 19:18:56

190

Views

Discontinuity of norm on $\ell^p$ defined by vector-space isomorphism to $\ell^q$

Published on 26 Mar 2026 - 19:18

score 438 · Answer 10 · 2019-08-18 02:08:10

438

Views

Convergence of vectors in $\mathbb{R}^m$ proof - help understanding a step?

Published on 18 Aug 2019 - 2:08

score 72 · Answer 11 · 2026-03-25 14:32:40

72

Views

A question on Matrix Norms

Published on 25 Mar 2026 - 14:32

score 108 · Answer 12 · 2026-03-31 21:07:18

108

Views

How to prove that Lp norm exists?

Published on 31 Mar 2026 - 21:07

score 427 · Answer 13 · 2019-08-22 03:03:48

427

Views

Showing a linear map is continuous

Published on 22 Aug 2019 - 3:03

score 231 · Answer 14 · 2026-03-26 19:05:51

231

Views

Upper bound the maximum column sum of a particular stochastic matrix

Published on 26 Mar 2026 - 19:05

score 50 · Answer 15 · 2026-03-28 02:04:32

50

Views

Invariant Length Function on $n \times n$ Unitary Group

Published on 28 Mar 2026 - 2:04

List Question

Does my theorem capture the idea that "For topological questions, the sets $\mathbb C^m$ and $\mathbb R^{2m}$ can be identified"?

What is the $\ell^2$ analogue of this $\ell^1$ property?

Completing a vector space WRT $2$ different norms

Problem II.3.12: Prove that $\|x-p_{F}(x)\| = \inf_{y \in F} \|x-y\|$ for an orthonormal system in an inner product space

Operator norm of ABC where B is a PSD matrix

Prove that $(\mathbb{R}^2,d_2)$ and $(\mathbb{R}^2,d_1)$ are not isometric, where $d_2$ is euclidean metric and $d_1$ is absolute value metric.

Inequality Constrained Least Squares Problem - Trust Region Sub Problem

Norm of Finite Product of Normed Spaces generates Product Topology

Discontinuity of norm on $\ell^p$ defined by vector-space isomorphism to $\ell^q$

Convergence of vectors in $\mathbb{R}^m$ proof - help understanding a step?

A question on Matrix Norms

How to prove that Lp norm exists?

Showing a linear map is continuous

Upper bound the maximum column sum of a particular stochastic matrix

Invariant Length Function on $n \times n$ Unitary Group

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