List questions from measure-theory

Published on 14 Apr 2026 - 15:32

284

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Finite dimensional sets in C[0,1]

Published on 16 Apr 2026 - 4:45

111

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Is a continuously embedded Banach space a measurable subspace?

Published on 12 Apr 2026 - 15:06

55

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Maximal domain of function and its derivative if both have Lebesgue > 0

Published on 16 Apr 2026 - 13:36

53

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Exercise that uses law of iterated expectation and almost sure convergence

Published on 14 Apr 2026 - 13:31

37

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application for Integration of non-negative measurable functions

Published on 10 Apr 2026 - 18:21

143

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Examples of pointwise convergence not implying $L_2$ convergence

Published on 14 Apr 2026 - 1:15

50

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Is it valid to define a conditional probability in this way?

Published on 09 Apr 2026 - 16:57

278

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Explicitly representing a random variable such as $ X(\omega):=\frac{1}{\lambda} \ln \frac{1}{1-\omega}$, which is exponential

Published on 18 Apr 2026 - 11:22

2.5k

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Is Lebesgue integral w.r.t. counting measure the same thing as sum (on an arbitrary set)?

Published on 12 Apr 2026 - 0:51

84

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For $A\subset\Bbb R^n$ and $B\subset \Bbb R^m$ show that $\dim_H(A\times B)=\dim_H(A)+\dim_H(B)$

Published on 25 Mar 2026 - 4:43

46

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Help bounding this function to apply dominated convergence theorem

Published on 10 Apr 2026 - 4:50

97

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Distribution of $Y_n(\omega) = \sin(2\pi n \omega)$

Published on 10 Apr 2026 - 2:21

43

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Prove that $\{\|f_n\|_2\}_{n=1}^\infty$ is a bounded sequence of real numbers

Published on 15 Apr 2026 - 11:38

87

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Reducing from countably generated $\sigma$-algebra to a finite partition

Published on 16 Apr 2026 - 17:21

List Question

Weak convergence of linear combinations of Dirac measures to a signed measure

Finite dimensional sets in C[0,1]

Is a continuously embedded Banach space a measurable subspace?

Maximal domain of function and its derivative if both have Lebesgue > 0

Exercise that uses law of iterated expectation and almost sure convergence

application for Integration of non-negative measurable functions

Examples of pointwise convergence not implying $L_2$ convergence

Is it valid to define a conditional probability in this way?

Explicitly representing a random variable such as $ X(\omega):=\frac{1}{\lambda} \ln \frac{1}{1-\omega}$, which is exponential

Is Lebesgue integral w.r.t. counting measure the same thing as sum (on an arbitrary set)?

For $A\subset\Bbb R^n$ and $B\subset \Bbb R^m$ show that $\dim_H(A\times B)=\dim_H(A)+\dim_H(B)$

Help bounding this function to apply dominated convergence theorem

Distribution of $Y_n(\omega) = \sin(2\pi n \omega)$

Prove that $\{\|f_n\|_2\}_{n=1}^\infty$ is a bounded sequence of real numbers

Reducing from countably generated $\sigma$-algebra to a finite partition

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