Question

Example 7.21 and Definition 7.22 in Baby Rudin: Why is this sequence of functions not equicontinuous?

score 891 · Answer 1 · 2017-10-05 05:49:44

891

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Example 7.21 and Definition 7.22 in Baby Rudin: Why is this sequence of functions not equicontinuous?

Published on 05 Oct 2017 - 5:49

score 582 · Answer 2 · 2017-10-22 23:38:19

582

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A Family of functions that is closed but not bounded.

Published on 22 Oct 2017 - 23:38

score 102 · Answer 3 · 2026-02-23 15:48:06

102

Views

Proving compactness of a subset

Published on 23 Feb 2026 - 15:48

score 616 · Answer 4 · 2017-10-30 08:22:43

616

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Is the set of derivatives of analytic functions of the unit disk equicontinuous?

Published on 30 Oct 2017 - 8:22

score 755 · Answer 5 · 2017-11-21 18:51:20

755

Views

Show that any compact subset of $C([0,1])$ with sup norm is equicontinuous

Published on 21 Nov 2017 - 18:51

score 187 · Answer 6 · 2017-12-09 18:24:06

187

Views

Equicontinuity of family of polynomial approximations

Published on 09 Dec 2017 - 18:24

score 450 · Answer 7 · 2017-12-10 20:15:27

450

Views

A corollary of Arzela-Ascoli

Published on 10 Dec 2017 - 20:15

score 114 · Answer 8 · 2017-12-19 21:02:01

114

Views

Show that $A$ is both closed and open

Published on 19 Dec 2017 - 21:02

score 388 · Answer 9 · 2017-12-24 01:10:39

388

Views

Equicontinuity of a family which is a sequence

Published on 24 Dec 2017 - 1:10

score 805 · Answer 10 · 2018-01-06 17:16:02

805

Views

Is an equicontinuous family of uniformly continuous functions necessarily uniformly equicontinuous?

Published on 06 Jan 2018 - 17:16

score 8.5k · Answer 11 · 2012-07-06 15:16:32

8.5k

Views

Need some help on a non-example of equicontinuity

Published on 06 Jul 2012 - 15:16

score 643 · Answer 12 · 2013-02-28 03:19:01

643

Views

Supremum conditions for equicontinuity

Published on 28 Feb 2013 - 3:19

score 321 · Answer 13 · 2020-08-27 03:26:37

321

Views

Application of Arzela-Ascoli theorem: showing equicontinuity and pointwise boundedness

Published on 27 Aug 2020 - 3:26

score 125 · Answer 14 · 2020-10-03 03:44:31

125

Views

For normed linear spaces, uniform boundedness is equivalent to equicontinuity

Published on 03 Oct 2020 - 3:44

score 329 · Answer 15 · 2020-11-14 14:57:21

329

Views

Proving that if a sequence of continuous real functions is uniformly convergent on a compact real subset then it is uniformly equicontinuous

Published on 14 Nov 2020 - 14:57

List Question

Example 7.21 and Definition 7.22 in Baby Rudin: Why is this sequence of functions not equicontinuous?

A Family of functions that is closed but not bounded.

Proving compactness of a subset

Is the set of derivatives of analytic functions of the unit disk equicontinuous?

Show that any compact subset of $C([0,1])$ with sup norm is equicontinuous

Equicontinuity of family of polynomial approximations

A corollary of Arzela-Ascoli

Show that $A$ is both closed and open

Equicontinuity of a family which is a sequence

Is an equicontinuous family of uniformly continuous functions necessarily uniformly equicontinuous?

Need some help on a non-example of equicontinuity

Supremum conditions for equicontinuity

Application of Arzela-Ascoli theorem: showing equicontinuity and pointwise boundedness

For normed linear spaces, uniform boundedness is equivalent to equicontinuity

Proving that if a sequence of continuous real functions is uniformly convergent on a compact real subset then it is uniformly equicontinuous

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