Question

Arzela-Ascoli generalisation uniform or pointwise convergence?

score 152 · Answer 1 · 2021-04-29 12:26:59

152

Views

Arzela-Ascoli generalisation uniform or pointwise convergence?

Published on 29 Apr 2021 - 12:26

score 44 · Answer 2 · 2021-04-29 15:08:25

44

Views

Show uniform convergence using continuous function

Published on 29 Apr 2021 - 15:08

score 114 · Answer 3 · 2021-05-03 20:59:08

114

Views

Application of Arzelà-Ascoli theorem

Published on 03 May 2021 - 20:59

score 55 · Answer 4 · 2021-05-17 17:18:48

55

Views

If the eigenfunctions of $T_{\phi}f:=f\circ\phi$ span $C(X)$, then $\overline{\{\phi^{n}:n\in\mathbb{Z}\}}^{\text{unif}}$ is compact

Published on 17 May 2021 - 17:18

score 163 · Answer 5 · 2021-05-27 03:40:09

163

Views

Arzela-Ascoli and integral operator

Published on 27 May 2021 - 3:40

score 46 · Answer 6 · 2021-07-22 13:45:27

46

Views

Using Arzela-Ascoli to prove there's a converging sub-sequence

Published on 22 Jul 2021 - 13:45

score 620 · Answer 7 · 2021-08-14 20:08:02

620

Views

Set of functions on $C[0,1]$ with bounded derivative is compact

Published on 14 Aug 2021 - 20:08

score 70 · Answer 8 · 2021-09-15 14:05:38

70

Views

Pointwise convergence of $F_n(t) = \max_{y \in \mathbb R^N} \int_{B_t(y)} |u_n|^2 \ dx$

Published on 15 Sep 2021 - 14:05

score 162 · Answer 9 · 2021-09-17 16:19:46

162

Views

How can we derive the Arzelà-Ascoli theorem for a $\sigma$-compact space from the ordinary Arzelà-Ascoli theorem?

Published on 17 Sep 2021 - 16:19

score 30 · Answer 10 · 2021-09-18 07:45:01

30

Views

If $(\varphi_n)$ is uniformly equicontinuous and $0\le f_n\le-3\ln\varphi_n$, show that $(f_n)$ is equicontinuous at $0$

Published on 18 Sep 2021 - 7:45

score 89 · Answer 11 · 2021-09-26 12:30:51

89

Views

Question about applying a combination of Arzela Ascoli and Schauder (also called Krasnoselskii)

Published on 26 Sep 2021 - 12:30

score 72 · Answer 12 · 2021-09-29 23:09:37

72

Views

Continuous extension in the proof of Arzela - Ascoli theorem

Published on 29 Sep 2021 - 23:09

score 278 · Answer 13 · 2021-11-18 17:13:19

278

Views

What's the role of domain compactness in the Ascoli-Arzela theorem?

Published on 18 Nov 2021 - 17:13

score 281 · Answer 14 · 2021-12-22 02:24:59

281

Views

Arzelà-Ascoli for $C_b(0,1)$? Or more generally, why is that continuous functions "live most naturally" on compact spaces?

Published on 22 Dec 2021 - 2:24

score 84 · Answer 15 · 2021-12-27 21:17:40

84

Views

Given a bounded sequence in $L^1([a,b])$, is $(t\mapsto \int_a^t f_n \,\mathrm d\lambda)_n$ equicontinuous?

Published on 27 Dec 2021 - 21:17

List Question

Arzela-Ascoli generalisation uniform or pointwise convergence?

Show uniform convergence using continuous function

Application of Arzelà-Ascoli theorem

If the eigenfunctions of $T_{\phi}f:=f\circ\phi$ span $C(X)$, then $\overline{\{\phi^{n}:n\in\mathbb{Z}\}}^{\text{unif}}$ is compact

Arzela-Ascoli and integral operator

Using Arzela-Ascoli to prove there's a converging sub-sequence

Set of functions on $C[0,1]$ with bounded derivative is compact

Pointwise convergence of $F_n(t) = \max_{y \in \mathbb R^N} \int_{B_t(y)} |u_n|^2 \ dx$

How can we derive the Arzelà-Ascoli theorem for a $\sigma$-compact space from the ordinary Arzelà-Ascoli theorem?

If $(\varphi_n)$ is uniformly equicontinuous and $0\le f_n\le-3\ln\varphi_n$, show that $(f_n)$ is equicontinuous at $0$

Question about applying a combination of Arzela Ascoli and Schauder (also called Krasnoselskii)

Continuous extension in the proof of Arzela - Ascoli theorem

What's the role of domain compactness in the Ascoli-Arzela theorem?

Arzelà-Ascoli for $C_b(0,1)$? Or more generally, why is that continuous functions "live most naturally" on compact spaces?

Given a bounded sequence in $L^1([a,b])$, is $(t\mapsto \int_a^t f_n \,\mathrm d\lambda)_n$ equicontinuous?

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