List questions from examples-counterexamples

Published on 09 Jun 2014 - 9:07

721

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Extending a compact operator to the entire Hilbert space

Published on 26 Mar 2026 - 11:06

824

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Topological vector spaces vs. locally convex spaces

Published on 09 Jun 2014 - 10:19

348

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Continuity conditions for multivariate functions.

Published on 10 Jun 2014 - 14:00

219

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A real-valued separately continuous function discontinuous everywhere

Published on 11 Jun 2014 - 11:01

965

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A function such that $f'(x)>0$, but not strictly monotone increasing.

Published on 11 Jun 2014 - 11:08

179

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A locally connected metric space of first category

Published on 28 Mar 2026 - 10:16

244

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Product of two symmetric banded matrices - real eigenvalues?

Published on 11 Jun 2014 - 22:58

122

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What is wrong with this "counterexample" of boundedness of weakly convergent sequences?

Published on 30 Mar 2026 - 4:56

131

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Necessity of a hypothesis in Scheffé's lemma

Published on 12 Jun 2014 - 18:24

95

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Homeomorphisms of product spaces: an example

Published on 27 Mar 2026 - 19:31

146

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Can an algebraic structure such that $x+a=x+b$, have solutions for all $a,b∈\mathbb{K}$ exist?

Published on 23 Feb 2026 - 2:56

136

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What are counter examples for these statements?

Published on 13 Jun 2014 - 21:06

41

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Does $(x-a)^n\in K[x]$ imply that $a\in K$?

Published on 14 Jun 2014 - 10:24

416

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Closed 4-manifolds with uncountably many differentiable structures

Published on 25 Mar 2026 - 11:54

List Question

Example of similar matrices $A$ and $B$ such that products $AB$ and $BA$ are not similar

Extending a compact operator to the entire Hilbert space

Topological vector spaces vs. locally convex spaces

Continuity conditions for multivariate functions.

A real-valued separately continuous function discontinuous everywhere

A function such that $f'(x)>0$, but not strictly monotone increasing.

A locally connected metric space of first category

Product of two symmetric banded matrices - real eigenvalues?

What is wrong with this "counterexample" of boundedness of weakly convergent sequences?

Necessity of a hypothesis in Scheffé's lemma

Homeomorphisms of product spaces: an example

Can an algebraic structure such that $x+a=x+b$, have solutions for all $a,b∈\mathbb{K}$ exist?

What are counter examples for these statements?

Does $(x-a)^n\in K[x]$ imply that $a\in K$?

Closed 4-manifolds with uncountably many differentiable structures

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