List questions from equicontinuity

Published on 03 Dec 2016 - 19:43

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Arzela-Ascoli Counter Example?

Published on 23 Feb 2026 - 8:54

496

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Generalized theorem of Arzela Ascoli

Published on 05 Dec 2016 - 9:14

906

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Let $f_n$ be an equicontinuous sequence in C(X) with X compact. Show that the set of all $x\in X$ for which $f_n(x)$ converges is closed.

Published on 11 Dec 2016 - 17:21

54

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Problem on a sequence of functions, Rudin PMA, page 168

Published on 25 Jan 2017 - 14:13

73

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Proving uniform boundedness of sequence of functions

Published on 09 Feb 2017 - 4:56

207

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Unmasking the reason this family of functions is equicontinuous

Published on 15 Mar 2017 - 2:52

732

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Show integral of sequence of functions is equicontinuous.

Published on 24 Mar 2017 - 17:58

2.9k

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Equicontinuity of $x^n$

Published on 01 Apr 2017 - 1:24

163

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A sufficient condition for convergence of objective functions evaluated at a minima.

Published on 03 Apr 2017 - 3:56

63

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Equicontinuous and uniformly equicontinuous

Published on 03 Mar 2023 - 18:08

34

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Uniform convergence, Pointwise Equicontinuity and Uniform Equicontinuity for functon.

Published on 25 Mar 2023 - 16:19

100

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A uniformly bounded sequence of analytic functions converging on the boundary of the domain?

Published on 12 May 2023 - 14:56

40

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Equivalent metrics and equicontinuity

Published on 24 May 2023 - 5:10

102

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If $K(x,y)$ is continuous in $x$ and linear in $y$, is $\|K(x,\cdot)\|$ continuous?

Published on 28 Jun 2023 - 4:17

List Question

Is $\sin(nx)$ equicontinuous on $[0,1]$?

Arzela-Ascoli Counter Example?

Generalized theorem of Arzela Ascoli

Let $f_n$ be an equicontinuous sequence in C(X) with X compact. Show that the set of all $x\in X$ for which $f_n(x)$ converges is closed.

Problem on a sequence of functions, Rudin PMA, page 168

Proving uniform boundedness of sequence of functions

Unmasking the reason this family of functions is equicontinuous

Show integral of sequence of functions is equicontinuous.

Equicontinuity of $x^n$

A sufficient condition for convergence of objective functions evaluated at a minima.

Equicontinuous and uniformly equicontinuous

Uniform convergence, Pointwise Equicontinuity and Uniform Equicontinuity for functon.

A uniformly bounded sequence of analytic functions converging on the boundary of the domain?

Equivalent metrics and equicontinuity

If $K(x,y)$ is continuous in $x$ and linear in $y$, is $\|K(x,\cdot)\|$ continuous?

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