Question

Why is it necessary to first reduce our case to a finite $J_{2} \in \mathbb N$ to show completeness of $\ell^{\infty}$

score 28 · Answer 1 · 2026-03-26 17:37:31

28

Views

Why is it necessary to first reduce our case to a finite $J_{2} \in \mathbb N$ to show completeness of $\ell^{\infty}$

Published on 26 Mar 2026 - 17:37

score 95 · Answer 2 · 2019-06-07 10:13:02

95

Views

how to compute norm of a vector of dual numbers?

Published on 07 Jun 2019 - 10:13

score 132 · Answer 3 · 2019-06-08 07:11:03

132

Views

For E a Normed Vector Space, What Is $\mathbb{R}^{E}$? (Brezis, Theorem 3.16)

Published on 08 Jun 2019 - 7:11

score 2.4k · Answer 4 · 2019-06-08 08:38:53

2.4k

Views

what is the difference between L1 norm, absolute value and absolute value norm?

Published on 08 Jun 2019 - 8:38

score 71 · Answer 5 · 2026-03-31 14:28:24

71

Views

Let $A \in M_2(\mathbb R)$ such that $AA^T=A^TA=I$ and $\det(A)=1$. Which one of the following is necessarily true?

Published on 31 Mar 2026 - 14:28

score 55 · Answer 6 · 2019-06-10 09:12:29

55

Views

$\alpha$-Hölder parabolic property of partial derivative when I know second partial derivatives.

Published on 10 Jun 2019 - 9:12

score 32 · Answer 7 · 2019-06-10 09:28:46

32

Views

How to prove function differentiable at t0 is continuous in Norm?

Published on 10 Jun 2019 - 9:28

score 57 · Answer 8 · 2026-03-29 12:24:18

57

Views

A question about the space $c_0$

Published on 29 Mar 2026 - 12:24

score 25 · Answer 9 · 2019-06-10 18:28:22

25

Views

$p = \{p_{w}\}_{w\in O}$ seminorms that separates points, $(X, \sigma(X, p \circ \theta))$ is Hausdorff

Published on 10 Jun 2019 - 18:28

score 195 · Answer 10 · 2019-06-10 18:46:07

195

Views

Show $A = \{f \in C([0,1]): f(x) > 0 \forall x \in [0,1] \}$ is open w.r.t sup norm: $\|f\|_{\infty, [0,1]} = sup_{x \in[0,1]}|f(x)|$ Pf Verification

Published on 10 Jun 2019 - 18:46

score 125 · Answer 11 · 2019-06-10 20:56:34

125

Views

Questions about operator norm on [0,1]

Published on 10 Jun 2019 - 20:56

score 70 · Answer 12 · 2019-06-10 21:54:42

70

Views

Show $D = \{f \in C^{2}[0,1]): f(x) > 0, \ \forall x \in [0,1], \|f'\|_{\infty}<1, |f''(0)| > 2\}$ is open w.r.t Sup Norm. Proof Verification

Published on 10 Jun 2019 - 21:54

score 154 · Answer 13 · 2026-03-26 23:09:45

154

Views

Bound on norm of difference of two vectors using their angle

Published on 26 Mar 2026 - 23:09

score 45 · Answer 14 · 2026-03-25 11:15:56

45

Views

Upper bound on the trace of k-th Frechet derivative of the matrix function $|x^k|$

Published on 25 Mar 2026 - 11:15

score 25 · Answer 15 · 2019-06-11 23:52:47

25

Views

Norm of an operator in different spaces

Published on 11 Jun 2019 - 23:52

List Question

Why is it necessary to first reduce our case to a finite $J_{2} \in \mathbb N$ to show completeness of $\ell^{\infty}$

how to compute norm of a vector of dual numbers?

For E a Normed Vector Space, What Is $\mathbb{R}^{E}$? (Brezis, Theorem 3.16)

what is the difference between L1 norm, absolute value and absolute value norm?

Let $A \in M_2(\mathbb R)$ such that $AA^T=A^TA=I$ and $\det(A)=1$. Which one of the following is necessarily true?

$\alpha$-Hölder parabolic property of partial derivative when I know second partial derivatives.

How to prove function differentiable at t0 is continuous in Norm?

A question about the space $c_0$

$p = \{p_{w}\}_{w\in O}$ seminorms that separates points, $(X, \sigma(X, p \circ \theta))$ is Hausdorff

Show $A = \{f \in C([0,1]): f(x) > 0 \forall x \in [0,1] \}$ is open w.r.t sup norm: $\|f\|_{\infty, [0,1]} = sup_{x \in[0,1]}|f(x)|$ Pf Verification

Questions about operator norm on [0,1]

Show $D = \{f \in C^{2}[0,1]): f(x) > 0, \ \forall x \in [0,1], \|f'\|_{\infty}<1, |f''(0)| > 2\}$ is open w.r.t Sup Norm. Proof Verification

Bound on norm of difference of two vectors using their angle

Upper bound on the trace of k-th Frechet derivative of the matrix function $|x^k|$

Norm of an operator in different spaces

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