List questions from measure-theory

Published on 10 Apr 2026 - 21:29

111

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Does every fast enough sequence convergence almost surely imply convergence almost surely?

Published on 12 Apr 2026 - 14:07

42

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Is the set $\{P\in \mathcal{P}:\mathbf{E}_P[\xi]\leq 0,\mathbf{E}_P[\xi^2]\leq 1\}$ closed?

Published on 16 Apr 2026 - 1:30

133

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Finite expectation of a process implies finite process

Published on 10 Apr 2026 - 19:18

43

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Probability space defined by moment ambiguity set is a compact set ?

Published on 12 Apr 2026 - 1:39

53

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Creating a formula to score and compare 3 metrics

Published on 12 Apr 2026 - 10:12

410

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Is there an axiomatic characterization of the Lebesgue integral?

Published on 13 Apr 2026 - 21:39

756

Views

Spectral Theorem: Multiplication Operator Form

Published on 13 Apr 2026 - 7:46

55

Views

Integral inequality in doubling metric space

Published on 12 Apr 2026 - 7:55

37

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Calculation of limit of a function sin

Published on 12 Apr 2026 - 14:29

1.1k

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Probability measure associated with random vector and its components

Published on 15 Apr 2026 - 4:24

905

Views

Jensen's inequality for random functions in a Banach space

Published on 23 Apr 2026 - 19:47

1.2k

Views

Showing Holder condition implies uniform convergence of the Fourier seires

Published on 15 Apr 2026 - 4:20

133

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Find the Gateaux differential

Published on 16 Apr 2026 - 8:35

90

Views

Show that $\sigma(C(\Bbb R^n,\Bbb R))=\mathcal L_0(\Bbb R^n,\beta_n,\overline{\Bbb R})$

Published on 16 Apr 2026 - 19:09

List Question

Does every subsequence convergence almost surely imply convergence almost surely?

Does every fast enough sequence convergence almost surely imply convergence almost surely?

Is the set $\{P\in \mathcal{P}:\mathbf{E}_P[\xi]\leq 0,\mathbf{E}_P[\xi^2]\leq 1\}$ closed?

Finite expectation of a process implies finite process

Probability space defined by moment ambiguity set is a compact set ?

Creating a formula to score and compare 3 metrics

Is there an axiomatic characterization of the Lebesgue integral?

Spectral Theorem: Multiplication Operator Form

Integral inequality in doubling metric space

Calculation of limit of a function sin

Probability measure associated with random vector and its components

Jensen's inequality for random functions in a Banach space

Showing Holder condition implies uniform convergence of the Fourier seires

Find the Gateaux differential

Show that $\sigma(C(\Bbb R^n,\Bbb R))=\mathcal L_0(\Bbb R^n,\beta_n,\overline{\Bbb R})$

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