Question

Identify $\operatorname{co}(\{e_n:n\in\mathbb N\})$ and $\overline{\operatorname{co}}(\{e_n : n\in\mathbb N\})$ in $c_0$ and $\ell^p$

score 324 · Answer 1 · 2026-03-20 08:54:03

324

Views

Identify $\operatorname{co}(\{e_n:n\in\mathbb N\})$ and $\overline{\operatorname{co}}(\{e_n : n\in\mathbb N\})$ in $c_0$ and $\ell^p$

Published on 20 Mar 2026 - 8:54

score 72 · Answer 2 · 2026-03-26 07:39:08

72

Views

Partial deriviatives of the Euclidean norm of an ODE with respect to some parameters

Published on 26 Mar 2026 - 7:39

score 70 · Answer 3 · 2026-03-25 19:25:28

70

Views

Computing the number of path-connected components of a subset of $\mathcal{M}_n(\mathbb{C})$

Published on 25 Mar 2026 - 19:25

score 50 · Answer 4 · 2026-03-26 07:35:34

50

Views

If $Y$ is closed subspace of $(X,\|\cdot\|)$, then subspace $<Y\cup \{x_0\}>$ is closed in $X$.

Published on 26 Mar 2026 - 7:35

score 1.1k · Answer 5 · 2026-03-25 01:20:19

1.1k

Views

Show that two definitions of matrix norm are in fact equivalent $\max\limits_{ x \neq 0} \dfrac{\|Ax\|}{\|x\|} = \max\limits_{\|x\| = 1} \|Ax\|$

Published on 25 Mar 2026 - 1:20

score 214 · Answer 6 · 2026-03-25 06:12:15

Whether this vector norm proposition is true? $ \vert x_i \vert \ge \vert y_i \vert \Rightarrow \Vert X \Vert \ge \Vert Y \Vert$

score 509 · Answer 7 · 2026-03-26 07:32:19

509

Views

Operator norm of $TT^*$

Published on 26 Mar 2026 - 7:32

score 922 · Answer 8 · 2026-03-22 20:45:43

922

Views

Supremum of the operator norm of Jacobian matrix

Published on 22 Mar 2026 - 20:45

score 85 · Answer 9 · 2026-03-25 23:52:27

85

Views

Existence of vector norm such that the induced operator of Jordan block smaller than eigenvalue

Published on 25 Mar 2026 - 23:52

score 374 · Answer 10 · 2026-03-25 03:07:01

374

Views

Vector subspace of a normed space

Published on 25 Mar 2026 - 3:07

score 219 · Answer 11 · 2026-03-20 18:09:46

219

Views

Continuous group homomorphism between normed vector spaces are linear?

Published on 20 Mar 2026 - 18:09

score 656 · Answer 12 · 2026-03-19 22:12:53

656

Views

Compact sets in uniform norm

Published on 19 Mar 2026 - 22:12

score 374 · Answer 13 · 2026-03-24 00:42:36

374

Views

Does locally Lipschitz imply Lipschitz on closed balls?

Published on 24 Mar 2026 - 0:42

score 85 · Answer 14 · 2026-03-25 03:03:10

85

Views

Values of $\alpha$ such that the inverse of a linear operator is bounded

Published on 25 Mar 2026 - 3:03

score 501 · Answer 15 · 2026-03-26 07:39:07

501

Views

How to prove a vector norm which uses the definition of Symmetric Positive Definite matrix

Published on 26 Mar 2026 - 7:39

List Question

Identify $\operatorname{co}(\{e_n:n\in\mathbb N\})$ and $\overline{\operatorname{co}}(\{e_n : n\in\mathbb N\})$ in $c_0$ and $\ell^p$

Partial deriviatives of the Euclidean norm of an ODE with respect to some parameters

Computing the number of path-connected components of a subset of $\mathcal{M}_n(\mathbb{C})$

If $Y$ is closed subspace of $(X,\|\cdot\|)$, then subspace $<Y\cup \{x_0\}>$ is closed in $X$.

Show that two definitions of matrix norm are in fact equivalent $\max\limits_{ x \neq 0} \dfrac{\|Ax\|}{\|x\|} = \max\limits_{\|x\| = 1} \|Ax\|$

Whether this vector norm proposition is true? $ \vert x_i \vert \ge \vert y_i \vert \Rightarrow \Vert X \Vert \ge \Vert Y \Vert$

Operator norm of $TT^*$

Supremum of the operator norm of Jacobian matrix

Existence of vector norm such that the induced operator of Jordan block smaller than eigenvalue

Vector subspace of a normed space

Continuous group homomorphism between normed vector spaces are linear?

Compact sets in uniform norm

Does locally Lipschitz imply Lipschitz on closed balls?

Values of $\alpha$ such that the inverse of a linear operator is bounded

How to prove a vector norm which uses the definition of Symmetric Positive Definite matrix

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