List questions from arzela-ascoli | MathQA

$(X,d)$ separable implies uniformly equicontinuous subset of $C(X,\mathbb{R})$ is separable?

Published on 04 Jul 2022 - 16:53

Some version of the theorem of Arzelà-Ascoli

Published on 27 Jul 2022 - 19:05

Prove that the integral operator $T:\mathcal{C}([0,1]) \to \mathcal{C}([0,1])$ is compact

Published on 28 Jul 2022 - 6:49

A question related to a family of continuous functions

Published on 19 Sep 2022 - 23:18

A question related to a family of continuously differentiable functions

Published on 20 Sep 2022 - 1:17

Arzelà-Ascoli and Compactness

Published on 11 Oct 2022 - 17:00

Compact embedding in $C^{k,2+\alpha}$ space

Published on 27 Oct 2022 - 14:11

Equivalent conditions of the Arzela-Ascoli theorem

Published on 20 Nov 2022 - 21:14

Show that $\left\{x\in[0,1] \rightarrow F(x) = \int_{0}^{x} f(t)dt : f\in C([0,1])\text{ and }||f||_\infty \leq B\right\}$ is compact.

Published on 05 Dec 2022 - 4:44

Equicontinuity and uniformly convergent subsequences

Published on 30 Dec 2022 - 7:11

Proving that $x_n(t)=\sin\left(n\frac{(t-n^2)}{n+1}\right)$ has subsequence that converges

Published on 05 Jan 2023 - 0:52

Some problems in the application of Arzelà–Ascoli theorem

Published on 23 Feb 2026 - 23:06