Question

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

score 892 · Answer 1 · 2026-02-23 19:22:37

892

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

Published on 23 Feb 2026 - 19:22

score 583 · Answer 2 · 2026-02-23 19:22:27

583

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A Family of functions that is closed but not bounded.

Published on 23 Feb 2026 - 19:22

score 103 · Answer 3 · 2026-04-11 10:57:13

103

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Proving compactness of a subset

Published on 11 Apr 2026 - 10:57

score 617 · Answer 4 · 2026-02-23 19:22:37

617

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

Published on 23 Feb 2026 - 19:22

score 756 · Answer 5 · 2026-02-23 19:22:27

756

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

Published on 23 Feb 2026 - 19:22

score 188 · Answer 6 · 2026-02-23 19:22:37

188

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Equicontinuity of family of polynomial approximations

Published on 23 Feb 2026 - 19:22

score 452 · Answer 7 · 2026-04-11 13:03:47

452

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A corollary of Arzela-Ascoli

Published on 11 Apr 2026 - 13:03

score 115 · Answer 8 · 2026-02-23 19:18:51

115

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Show that $A$ is both closed and open

Published on 23 Feb 2026 - 19:18

score 389 · Answer 9 · 2026-02-23 19:21:08

389

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Equicontinuity of a family which is a sequence

Published on 23 Feb 2026 - 19:21

score 807 · Answer 10 · 2026-04-11 13:04:14

807

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

Published on 11 Apr 2026 - 13:04

score 8.5k · Answer 11 · 2026-04-11 14:08:41

8.5k

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Need some help on a non-example of equicontinuity

Published on 11 Apr 2026 - 14:08

score 645 · Answer 12 · 2026-04-11 15:48:18

645

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Supremum conditions for equicontinuity

Published on 11 Apr 2026 - 15:48

score 323 · Answer 13 · 2026-04-11 13:04:17

323

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

Published on 11 Apr 2026 - 13:04

score 126 · Answer 14 · 2026-02-23 19:19:46

126

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For normed linear spaces, uniform boundedness is equivalent to equicontinuity

Published on 23 Feb 2026 - 19:19

score 330 · Answer 15 · 2026-02-23 19:22:37

330

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

Published on 23 Feb 2026 - 19:22

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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