Question

$\lambda$-almost-everywhere convergence implied by lim$\lambda (${$x \in E : | f_n(x) - f(x) | > \epsilon$}$) = 0$

score 215 · Answer 1 · 2026-03-24 23:44:52

215

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$\lambda$-almost-everywhere convergence implied by lim$\lambda (${$x \in E : | f_n(x) - f(x) | > \epsilon$}$) = 0$

Published on 24 Mar 2026 - 23:44

score 232 · Answer 2 · 2018-12-04 21:56:43

232

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Convergence and Measure

Published on 04 Dec 2018 - 21:56

score 1k · Answer 3 · 2018-12-04 22:29:17

1k

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a.e. point wise convergence on finite measured set implies convergence in measure

Published on 04 Dec 2018 - 22:29

score 82 · Answer 4 · 2018-12-05 04:39:55

82

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Is it possible to write the preimage of a Lebesgue integrable function as the union of nonmeasurable sets?

Published on 05 Dec 2018 - 4:39

score 61 · Answer 5 · 2026-03-25 14:46:56

61

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Unicity of the projection on a closed convex subset of $L^p$

Published on 25 Mar 2026 - 14:46

score 472 · Answer 6 · 2018-12-05 20:57:59

472

Views

Example of a set which is not in the product $\sigma$-algebra

Published on 05 Dec 2018 - 20:57

score 346 · Answer 7 · 2018-12-06 00:21:24

346

Views

Showing a sequence of functions $f_n$ does not converge uniformly to $f$ on an interval.

Published on 06 Dec 2018 - 0:21

score 95 · Answer 8 · 2018-12-06 20:09:47

95

Views

Properties of Normal Numbers

Published on 06 Dec 2018 - 20:09

score 234 · Answer 9 · 2026-03-29 12:12:11

234

Views

Calculating the norm of a specific bounded linear functional

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score 95 · Answer 10 · 2026-03-25 11:04:32

95

Views

Proof of a convergence of sets in the context of Finite Perimeter sets

Published on 25 Mar 2026 - 11:04

score 114 · Answer 11 · 2026-03-28 04:35:42

114

Views

If $\int f=0$ then $f=0$ a.e. with $f\geq 0$. Is it true if $f(x) = \infty$?

Published on 28 Mar 2026 - 4:35

score 26 · Answer 12 · 2026-03-29 12:03:56

26

Views

Sufficient condition for $L^\infty$ distance bound

Published on 29 Mar 2026 - 12:03

score 116 · Answer 13 · 2018-12-08 21:43:00

116

Views

Is the function measurable with respect to Lebesgue measure

Published on 08 Dec 2018 - 21:43

score 631 · Answer 14 · 2018-12-09 02:00:02

631

Views

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a measurable function, is $f \circ \sin$ measurable?

Published on 09 Dec 2018 - 2:00

score 1.9k · Answer 15 · 2018-12-09 19:43:19

1.9k

Views

Show that the open interval (a, b) is Lebesgue measurable

Published on 09 Dec 2018 - 19:43

List Question

$\lambda$-almost-everywhere convergence implied by lim$\lambda (${$x \in E : | f_n(x) - f(x) | > \epsilon$}$) = 0$

Convergence and Measure

a.e. point wise convergence on finite measured set implies convergence in measure

Is it possible to write the preimage of a Lebesgue integrable function as the union of nonmeasurable sets?

Unicity of the projection on a closed convex subset of $L^p$

Example of a set which is not in the product $\sigma$-algebra

Showing a sequence of functions $f_n$ does not converge uniformly to $f$ on an interval.

Properties of Normal Numbers

Calculating the norm of a specific bounded linear functional

Proof of a convergence of sets in the context of Finite Perimeter sets

If $\int f=0$ then $f=0$ a.e. with $f\geq 0$. Is it true if $f(x) = \infty$?

Sufficient condition for $L^\infty$ distance bound

Is the function measurable with respect to Lebesgue measure

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a measurable function, is $f \circ \sin$ measurable?

Show that the open interval (a, b) is Lebesgue measurable

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