Question

Show that $\alpha f + \beta g$ is measurable when $f,g$ are measurable.

score 222 · Answer 1 · 2026-04-16 19:08:13

222

Views

Show that $\alpha f + \beta g$ is measurable when $f,g$ are measurable.

Published on 16 Apr 2026 - 19:08

score 516 · Answer 2 · 2026-04-15 17:58:17

516

Views

Sufficient and neccesary condition for almost convergence of $\max (X_1,X_2,\cdots,X_n)/a_n$

Published on 15 Apr 2026 - 17:58

score 218 · Answer 3 · 2026-04-11 12:35:57

218

Views

About an inequality in Royden's Real Analysis

Published on 11 Apr 2026 - 12:35

score 83 · Answer 4 · 2026-04-15 11:09:31

83

Views

Show that A belongs to the σ-algebra generated by the intervals

Published on 15 Apr 2026 - 11:09

score 44 · Answer 5 · 2026-04-14 05:34:28

44

Views

For a share’s price movement example, let E be the event that the share’s price

Published on 14 Apr 2026 - 5:34

score 1.3k · Answer 6 · 2026-04-12 13:57:16

1.3k

Views

Definition of a semiring of sets

Published on 12 Apr 2026 - 13:57

score 39 · Answer 7 · 2026-04-14 07:36:31

39

Views

I need a justification to switch limit and integral. Why can or can't I do that?

Published on 14 Apr 2026 - 7:36

score 69 · Answer 8 · 2026-04-11 09:49:33

69

Views

Measure theory: measure zero

Published on 11 Apr 2026 - 9:49

score 458 · Answer 9 · 2026-04-10 14:40:19

458

Views

Question about Dini number (hint)

Published on 10 Apr 2026 - 14:40

score 315 · Answer 10 · 2026-04-14 23:59:32

315

Views

Absolute convergence of f(nt) when f is integrable

Published on 14 Apr 2026 - 23:59

score 24 · Answer 11 · 2026-04-13 21:46:17

24

Views

Lebesgue-Stieltjes integral with a directed and absolutely continuos cash-flow

Published on 13 Apr 2026 - 21:46

score 38 · Answer 12 · 2026-04-17 19:43:17

38

Views

If two sets $A,B$ are (topologically) separated, is $m^(A\cup B)=m^(A)+m^*(B)$ always true?

Published on 17 Apr 2026 - 19:43

score 86 · Answer 13 · 2026-04-10 16:24:25

86

Views

Showing that a measurable functions admits a bounded linear map

Published on 10 Apr 2026 - 16:24

score 360 · Answer 14 · 2026-04-11 11:45:59

360

Views

Proper way to check if a measurable function belong to $L^p$?

Published on 11 Apr 2026 - 11:45

score 133 · Answer 15 · 2026-04-14 22:29:20

133

Views

On the conditional expectation with respect to $\left\{Y=a\right\}$

Published on 14 Apr 2026 - 22:29

List Question

Show that $\alpha f + \beta g$ is measurable when $f,g$ are measurable.

Sufficient and neccesary condition for almost convergence of $\max (X_1,X_2,\cdots,X_n)/a_n$

About an inequality in Royden's Real Analysis

Show that A belongs to the σ-algebra generated by the intervals

For a share’s price movement example, let E be the event that the share’s price

Definition of a semiring of sets

I need a justification to switch limit and integral. Why can or can't I do that?

Measure theory: measure zero

Question about Dini number (hint)

Absolute convergence of f(nt) when f is integrable

Lebesgue-Stieltjes integral with a directed and absolutely continuos cash-flow

If two sets $A,B$ are (topologically) separated, is $m^(A\cup B)=m^(A)+m^*(B)$ always true?

Showing that a measurable functions admits a bounded linear map

Proper way to check if a measurable function belong to $L^p$?

On the conditional expectation with respect to $\left\{Y=a\right\}$

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