List questions from examples-counterexamples

Published on 14 Mar 2019 - 23:25

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Example of a matrix where equality occurs for the relation between infinite and 2 norm

Published on 24 Mar 2026 - 23:44

140

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Lattice definition and example

Published on 25 Mar 2026 - 15:54

104

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Can you have an infinite descending chain of dual spaces?

Published on 25 Mar 2026 - 20:36

159

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Example: limit point compact + $\neg$countably compact+ $\neg$Lindelöf

Published on 20 Mar 2019 - 9:42

60

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Uniform inequality for a continuous function

Published on 27 Mar 2026 - 7:47

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Are there examples of sequences $(x_n)$ such that $(x_n) \in l^p(\mathbb{N})$ but $(x_n) \not\in l^p(\mathbb{Z})$?

Published on 22 Mar 2019 - 22:42

291

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Homeomorphic spaces are uniformly isomorphic

Published on 23 Feb 2026 - 2:46

80

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Lattice Theory and Topkis Theorem

Published on 25 Mar 2026 - 15:49

382

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Consecutive sequences of not cube-free numbers

Published on 25 Mar 2019 - 23:23

589

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Does closed convex sets having unique nearest points imply the parallelogram law?

Published on 26 Mar 2019 - 4:39

28

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Counterexample of $\lim_{x\rightarrow \infty}f(x,t(x))\neq 1$ where $\lim_{x\rightarrow \infty }t(x)=2$.

Published on 26 Mar 2019 - 16:34

170

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Requirements of remainder in multidimensional Taylor Theorem

Published on 27 Mar 2019 - 9:18

58

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Solve: $\|u+v\| \le \|u\| + \|v\|$ with $\|x\| = \left( \sqrt{|x_1|} + \sqrt{|x_2|} \right)^2$

Published on 28 Mar 2019 - 14:32

83

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$\sigma(C_1) \subset \sigma(C_2) \iff C_1 \subset C_2$?

Published on 29 Mar 2019 - 21:11

List Question

Examples of a torsion group where there are elements of arbitrary large order.

Example of a matrix where equality occurs for the relation between infinite and 2 norm

Lattice definition and example

Can you have an infinite descending chain of dual spaces?

Example: limit point compact + $\neg$countably compact+ $\neg$Lindelöf

Uniform inequality for a continuous function

Are there examples of sequences $(x_n)$ such that $(x_n) \in l^p(\mathbb{N})$ but $(x_n) \not\in l^p(\mathbb{Z})$?

Homeomorphic spaces are uniformly isomorphic

Lattice Theory and Topkis Theorem

Consecutive sequences of not cube-free numbers

Does closed convex sets having unique nearest points imply the parallelogram law?

Counterexample of $\lim_{x\rightarrow \infty}f(x,t(x))\neq 1$ where $\lim_{x\rightarrow \infty }t(x)=2$.

Requirements of remainder in multidimensional Taylor Theorem

Solve: $\|u+v\| \le \|u\| + \|v\|$ with $\|x\| = \left( \sqrt{|x_1|} + \sqrt{|x_2|} \right)^2$

$\sigma(C_1) \subset \sigma(C_2) \iff C_1 \subset C_2$?

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