List questions from arzela-ascoli

Published on 04 Nov 2019 - 22:19

60

Views

Show that $F=\{f_n\;|\; n\in N, \; f_n:[0,1]\to R \; \ni f_n(x)=x^n\}$ is not equicontinuous at $x=0$

Published on 22 Nov 2019 - 2:02

428

Views

Show that $\{\sin(nx) \; \mid \; n \in N\}$ is not equicontinuous at $x=1$

Published on 22 Nov 2019 - 3:35

33

Views

Compactness results in $C^{k}(\Omega)$

Published on 27 Jan 2020 - 15:37

295

Views

Application of Arzela-Ascoli Theorem, proving uniform boundedness and equicontinuity

Published on 19 Feb 2020 - 3:20

135

Views

(False?) Corollary to Arzela-Ascoli

Published on 27 Feb 2020 - 16:47

34

Views

Compact closure in $C(\overline{\omega})$ implies compact closure in $L^p(\omega)$?

Published on 31 Mar 2020 - 14:26

271

Views

A version of Arzelà–Ascoli theorem concerning normal family

Published on 09 Apr 2020 - 9:10

120

Views

Arzelà-Ascoli for hyperbolic spaces with natural boundary

Published on 10 Apr 2020 - 15:12

238

Views

uniformly convergent subsequence of functions

Published on 29 Apr 2020 - 3:24

178

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Prove uniform convergence for a subsequence

Published on 29 Apr 2020 - 14:56

98

Views

Study the equicontinuity of a family of functions

Published on 05 May 2020 - 22:50

176

Views

Weaker assumptions for Ascoli-Arzela theorem in $C([a,b])$

Published on 09 May 2020 - 9:02

207

Views

Application of Montel's Theorem

Published on 13 May 2020 - 18:28

92

Views

Show that the sequence $g_{n}$ has a uniformly convergent subsequence.

Published on 02 Jun 2020 - 16:41

List Question

Corollary from Arzela-Ascoli

Show that $F=\{f_n\;|\; n\in N, \; f_n:[0,1]\to R \; \ni f_n(x)=x^n\}$ is not equicontinuous at $x=0$

Show that $\{\sin(nx) \; \mid \; n \in N\}$ is not equicontinuous at $x=1$

Compactness results in $C^{k}(\Omega)$

Application of Arzela-Ascoli Theorem, proving uniform boundedness and equicontinuity

(False?) Corollary to Arzela-Ascoli

Compact closure in $C(\overline{\omega})$ implies compact closure in $L^p(\omega)$?

A version of Arzelà–Ascoli theorem concerning normal family

Arzelà-Ascoli for hyperbolic spaces with natural boundary

uniformly convergent subsequence of functions

Prove uniform convergence for a subsequence

Study the equicontinuity of a family of functions

Weaker assumptions for Ascoli-Arzela theorem in $C([a,b])$

Application of Montel's Theorem

Show that the sequence $g_{n}$ has a uniformly convergent subsequence.

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