Question

If $(f_n)_n\rightarrow f$ almost everywhere and in measure, does $(f_n)_n\rightarrow f$ almost uniformly?

score 650 · Answer 1 · 2026-03-29 05:12:14

650

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If $(f_n)_n\rightarrow f$ almost everywhere and in measure, does $(f_n)_n\rightarrow f$ almost uniformly?

Published on 29 Mar 2026 - 5:12

score 2.9k · Answer 2 · 2026-04-14 21:57:10

2.9k

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Give a sequence such that root test works while ratio test fails

Published on 14 Apr 2026 - 21:57

score 316 · Answer 3 · 2026-04-13 15:11:22

316

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"It is not true, in general, that the sum of two closed, covex sets is closed."

Published on 13 Apr 2026 - 15:11

score 2.1k · Answer 4 · 2026-04-16 01:52:22

2.1k

Views

How do I prove or disprove this matrix identity: $ABA=0$ and $B$ is invertible implies $A^2=0$?

Published on 16 Apr 2026 - 1:52

score 1.2k · Answer 5 · 2026-04-13 13:03:14

1.2k

Views

Integral of pointwise limit is not the point wise limit of the integral.

Published on 13 Apr 2026 - 13:03

score 3.1k · Answer 6 · 2026-04-12 14:38:31

3.1k

Views

Closure of a compact space always compact?

Published on 12 Apr 2026 - 14:38

score 236 · Answer 7 · 2026-04-15 02:34:28

236

Views

intersection of measurable sets.

Published on 15 Apr 2026 - 2:34

score 79 · Answer 8 · 2026-03-29 19:58:22

79

Views

Examples to attain the largest possible value of the Hausdorff dimension of intersection

Published on 29 Mar 2026 - 19:58

score 173 · Answer 9 · 2026-04-11 09:16:57

173

Views

Does Measurablity of Cuts imply Measurability in Product Space?

Published on 11 Apr 2026 - 9:16

score 139 · Answer 10 · 2026-04-19 16:48:33

139

Views

How can I prove that the first three decimal digits of a real number between 0 and 1 can be equal to the reciprocal of 2 to the power of that number?

Published on 19 Apr 2026 - 16:48

score 84 · Answer 11 · 2026-04-12 19:15:27

84

Views

Example of a sequence that converges uniformly on each compact subset of $\mathbb{D}$, but does not converge uniformly on $\overline{\mathbb{D}}$

Published on 12 Apr 2026 - 19:15

score 3.8k · Answer 12 · 2026-04-12 04:18:23

3.8k

Views

Composition of absolutely continuous function on $\mathbb{R}$

Published on 12 Apr 2026 - 4:18

score 304 · Answer 13 · 2026-04-14 09:45:45

304

Views

Requesting a finite trivial example with this family of sets and union is associative to help me prove

Published on 14 Apr 2026 - 9:45

score 88 · Answer 14 · 2026-04-14 20:18:01

88

Views

Is it necessarily true that $x$ is forced to be nonnegative in the case of $\sqrt{x^3}$?

Published on 14 Apr 2026 - 20:18

score 6.2k · Answer 15 · 2026-04-16 04:19:09

6.2k

Views

Examples of matrices that are both skew-symmetric and orthogonal

Published on 16 Apr 2026 - 4:19

List Question

If $(f_n)_n\rightarrow f$ almost everywhere and in measure, does $(f_n)_n\rightarrow f$ almost uniformly?

Give a sequence such that root test works while ratio test fails

"It is not true, in general, that the sum of two closed, covex sets is closed."

How do I prove or disprove this matrix identity: $ABA=0$ and $B$ is invertible implies $A^2=0$?

Integral of pointwise limit is not the point wise limit of the integral.

Closure of a compact space always compact?

intersection of measurable sets.

Examples to attain the largest possible value of the Hausdorff dimension of intersection

Does Measurablity of Cuts imply Measurability in Product Space?

How can I prove that the first three decimal digits of a real number between 0 and 1 can be equal to the reciprocal of 2 to the power of that number?

Example of a sequence that converges uniformly on each compact subset of $\mathbb{D}$, but does not converge uniformly on $\overline{\mathbb{D}}$

Composition of absolutely continuous function on $\mathbb{R}$

Requesting a finite trivial example with this family of sets and union is associative to help me prove

Is it necessarily true that $x$ is forced to be nonnegative in the case of $\sqrt{x^3}$?

Examples of matrices that are both skew-symmetric and orthogonal

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