List questions from examples-counterexamples

Published on 11 Nov 2019 - 19:46

180

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Example of random variable $X > 0$ with finite expectation but infinite $E[X \log_+(X)]$

Published on 12 Nov 2019 - 14:21

41

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Why is a condition $a_n \geq 0$ necessary?

Published on 12 Nov 2019 - 16:26

64

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Example $f\in L^p([0,1]) \backslash L^q([0,1]) $ and $g\in L^p(R) \backslash L^q(R) $?

Published on 15 Nov 2019 - 13:15

88

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example of commutative ring where two equal principal ideals have generators which do not differ by a unit

Published on 15 Nov 2019 - 14:55

98

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Good examples of violations to the "law of sufficiently large intervals"

Published on 16 Nov 2019 - 0:03

101

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Counter-example wanted for a conjecture on polynomials

Published on 25 Mar 2026 - 14:32

165

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Property of generating sets of finite groups

Published on 16 Nov 2019 - 13:25

156

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Counterexample for an exercise in Hartshorne

Published on 31 Mar 2026 - 7:37

487

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Non abelian Lie group with abelian Lie algebra

Published on 18 Nov 2019 - 18:26

56

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Are There Examples of Triangulated Categories that $\bigcap_n\mathcal{D}^{\geq n}\neq\{0\} $?

Published on 19 Nov 2019 - 9:51

63

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Can $\sum_n \frac{1}{x_{n_{ik}}}$ still diverge if $\sum_n \frac{1}{x_{n_{i}}}$ diverge and $x_n$ is nondecreasing?

Published on 19 Nov 2019 - 10:53

368

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Correspondence between infinite matrices and $\ell_2$ operators

Published on 22 Nov 2019 - 11:12

59

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Understanding Example 2.2 in AT on pg.106.

Published on 23 Nov 2019 - 16:57

88

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convergence in mean for continuous function / continuous mapping theorem

Published on 24 Nov 2019 - 13:18

List Question

Continuity Properties of Lebesgue Measure violated by non-measurable sets?

Example of random variable $X > 0$ with finite expectation but infinite $E[X \log_+(X)]$

Why is a condition $a_n \geq 0$ necessary?

Example $f\in L^p([0,1]) \backslash L^q([0,1]) $ and $g\in L^p(R) \backslash L^q(R) $?

example of commutative ring where two equal principal ideals have generators which do not differ by a unit

Good examples of violations to the "law of sufficiently large intervals"

Counter-example wanted for a conjecture on polynomials

Property of generating sets of finite groups

Counterexample for an exercise in Hartshorne

Non abelian Lie group with abelian Lie algebra

Are There Examples of Triangulated Categories that $\bigcap_n\mathcal{D}^{\geq n}\neq\{0\} $?

Can $\sum_n \frac{1}{x_{n_{ik}}}$ still diverge if $\sum_n \frac{1}{x_{n_{i}}}$ diverge and $x_n$ is nondecreasing?

Correspondence between infinite matrices and $\ell_2$ operators

Understanding Example 2.2 in AT on pg.106.

convergence in mean for continuous function / continuous mapping theorem

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