List questions from examples-counterexamples

Published on 11 Jul 2018 - 3:54

63

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When $\|f_n\|_{L^2}=1$ where $f_n(x)= f(x-n)+(-1)^n f(x+n)$?

Published on 11 Jul 2018 - 14:53

139

Views

Squaring matrices and positive semidefiniteness

Published on 11 Jul 2018 - 18:25

77

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Covariance matrix and positive semidefiniteness

Published on 11 Jul 2018 - 18:53

528

Views

Example of hyponormal operator which is not normal

Published on 13 Jul 2018 - 10:25

378

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Example: $\{X_n \}$ is uniformly integrable but $E[ f(X_n) ]=\infty$ with $f(x)=\omega(x)$

Published on 25 Mar 2026 - 16:08

437

Views

Does a holomorphic function on the unit disk with continuous radial limits have a continuous extension to the closed disk?

Published on 25 Mar 2026 - 6:48

196

Views

What is up with limsup ? Is Wikipedia wrong about their smooth non-Analytic argument?

Published on 25 Mar 2026 - 14:22

160

Views

How to choose smooth function $f:\mathbb R \to [0,1]$?

Published on 21 Jul 2018 - 0:53

129

Views

Examples of sets with large cardinalities

Published on 25 Jul 2018 - 0:14

1k

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Quotient of injective module which is not injective

Published on 25 Mar 2026 - 14:03

138

Views

Scott topology vs the topology generated by the complements of principal ideals

Published on 24 Mar 2026 - 17:29

139

Views

Difference Between Zero-Dimensional and Totally Separated in the Plane

Published on 25 Mar 2026 - 6:00

129

Views

A group scheme whose reduced underlying scheme is not normal

Published on 22 Mar 2026 - 20:46

624

Views

Why level curves of $z^2$ are not orthogonal for $u=v=0$?

Published on 25 Mar 2026 - 23:22

List Question

Are there primes $p=47\cdot 2^n+1$?

When $\|f_n\|_{L^2}=1$ where $f_n(x)= f(x-n)+(-1)^n f(x+n)$?

Squaring matrices and positive semidefiniteness

Covariance matrix and positive semidefiniteness

Example of hyponormal operator which is not normal

Example: $\{X_n \}$ is uniformly integrable but $E[ f(X_n) ]=\infty$ with $f(x)=\omega(x)$

Does a holomorphic function on the unit disk with continuous radial limits have a continuous extension to the closed disk?

What is up with limsup ? Is Wikipedia wrong about their smooth non-Analytic argument?

How to choose smooth function $f:\mathbb R \to [0,1]$?

Examples of sets with large cardinalities

Quotient of injective module which is not injective

Scott topology vs the topology generated by the complements of principal ideals

Difference Between Zero-Dimensional and Totally Separated in the Plane

A group scheme whose reduced underlying scheme is not normal

Why level curves of $z^2$ are not orthogonal for $u=v=0$?

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