Question

Uniform limit points of a sequence of oscillating functions

score 114 · Answer 1 · 2026-02-23 03:28:34

114

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Uniform limit points of a sequence of oscillating functions

Published on 23 Feb 2026 - 3:28

score 656 · Answer 2 · 2026-02-23 03:31:10

656

Views

Use of the diagonal argument in the proof of the Arzela Ascoli theorem

Published on 23 Feb 2026 - 3:31

score 220 · Answer 3 · 2026-02-23 03:26:45

220

Views

Show that this operator is not compact using Arzela-Ascoli

Published on 23 Feb 2026 - 3:26

score 207 · Answer 4 · 2026-02-23 03:25:23

207

Views

Compact operator by proving Ascoli-Arzelà

Published on 23 Feb 2026 - 3:25

score 445 · Answer 5 · 2026-02-23 03:28:35

445

Views

Compactness of an integral operator from $L^2$ to $L^2$

Published on 23 Feb 2026 - 3:28

score 71 · Answer 6 · 2026-02-23 03:23:34

71

Views

Show that a sequence admits converging subsequence

Published on 23 Feb 2026 - 3:23

score 117 · Answer 7 · 2026-02-23 03:30:22

117

Views

Existence of Solution for Initial value Problem $y'(t)=\cos(ty), t>0$ and $y(0)=\frac{1}{n}, n\in\mathbb{N}$ using Ascoli Arzela

Published on 23 Feb 2026 - 3:30

score 131 · Answer 8 · 2026-02-23 03:28:34

131

Views

Sequence of solutions to a continuous ordinary differential equation in $\mathbb R^n$ has a convergent subsequence

Published on 23 Feb 2026 - 3:28

score 1.1k · Answer 9 · 2026-02-23 03:30:24

1.1k

Views

Uniformly convergent subsequence of a uniformly bounded family of functions

Published on 23 Feb 2026 - 3:30

score 177 · Answer 10 · 2026-02-23 03:29:32

177

Views

Lemma related to proof of Montel's Theorem

Published on 23 Feb 2026 - 3:29

score 1k · Answer 11 · 2026-02-23 03:28:34

1k

Views

Is there a version of the Arzelà–Ascoli theorem capturing $C([0,\infty))$?

Published on 23 Feb 2026 - 3:28

score 148 · Answer 12 · 2026-04-08 06:18:17

148

Views

Equivalent conditions for relative compactness in the Skorohod space

Published on 08 Apr 2026 - 6:18

score 104 · Answer 13 · 2026-02-23 03:31:32

104

Views

If $F$ is a family of probability measures on $C(K,E)$ and $π_t$ is the evaluation map at $t∈K$, can we show that $(μ∘π_t^{-1})_{μ∈F}$ is tight?

Published on 23 Feb 2026 - 3:31

score 688 · Answer 14 · 2026-02-23 03:27:51

688

Views

Motivation for the Arzela-Ascoli's theorem

Published on 23 Feb 2026 - 3:27

score 112 · Answer 15 · 2026-02-23 01:23:01

112

Views

Prove that there exists a function $ g: [0,1] \to \mathbb{R} $ which is 1-Lipschitz, satisfies $ g (0) = 0 $ and has the following property.

Published on 23 Feb 2026 - 1:23

List Question

Uniform limit points of a sequence of oscillating functions

Use of the diagonal argument in the proof of the Arzela Ascoli theorem

Show that this operator is not compact using Arzela-Ascoli

Compact operator by proving Ascoli-Arzelà

Compactness of an integral operator from $L^2$ to $L^2$

Show that a sequence admits converging subsequence

Existence of Solution for Initial value Problem $y'(t)=\cos(ty), t>0$ and $y(0)=\frac{1}{n}, n\in\mathbb{N}$ using Ascoli Arzela

Sequence of solutions to a continuous ordinary differential equation in $\mathbb R^n$ has a convergent subsequence

Uniformly convergent subsequence of a uniformly bounded family of functions

Lemma related to proof of Montel's Theorem

Is there a version of the Arzelà–Ascoli theorem capturing $C([0,\infty))$?

Equivalent conditions for relative compactness in the Skorohod space

If $F$ is a family of probability measures on $C(K,E)$ and $π_t$ is the evaluation map at $t∈K$, can we show that $(μ∘π_t^{-1})_{μ∈F}$ is tight?

Motivation for the Arzela-Ascoli's theorem

Prove that there exists a function $ g: [0,1] \to \mathbb{R} $ which is 1-Lipschitz, satisfies $ g (0) = 0 $ and has the following property.

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