List questions from normed-spaces | MathQa

Closed / open set in $\ell^\infty$ metric space.

Published on 26 Dec 2024 - 4:57

orthonormal basis question - linear algebra

Published on 26 Dec 2024 - 11:23

If $\lim f'(x) = 0$, then $\lim f(x+1) - f(x) = 0$

Published on 12 Jan 2025 - 19:22

Why does for every matrix norm $\lVert \mathbb{I } \rVert \geq 1$ hold?

Published on 29 Dec 2024 - 11:59

Metric on $\mathbb R^2$ in which each sphere $B((x,y),r)$ is an equilateral triangle

Published on 26 Dec 2024 - 9:16

Does the canonical $\pi: X \to X/Y$ map the closed unit ball to the closed unit ball?

Published on 29 Dec 2024 - 13:53

Continuity of the function $\mathbb{R}^k \to\mathbb{R}: x\mapsto \ln(1+ \lVert x \rVert)$

Published on 12 Jan 2025 - 8:28

Prove spectral norm compatible with vector norm

Published on 29 Dec 2024 - 11:59

Is it a property of any vector norm on $\mathbb{C}^n$?

Published on 29 Dec 2024 - 8:17

A peculiar characterization of open balls in a Banach space

Published on 28 Dec 2024 - 13:45