List questions from function-spaces | MathQA

Support for functions in $\ell^1(I)$ is always countable?

Published on 12 Oct 2022 - 21:35

Let $F = \{ f \in C[-2,2] \mid f(0)+f(1)=3\}$. Does $F$ contain an open subset of $C[-2,2]$?

Published on 19 Oct 2022 - 20:36

Two non-comparable metrics on $X=C[0,\pi]$

Published on 30 Oct 2022 - 16:04

Find the completion of the metric spaces

Published on 11 Nov 2022 - 7:14

Category of continuous functions with compact support in the space of continuous bounded functions and in itself

Published on 24 Mar 2026 - 18:05

Is the sequence $(\sin^{n}t)_{n \in {\Bbb{N}}}$ totally bounded in $C[0,1]$

Published on 05 Dec 2022 - 10:57

Does weak convergence on a dense subset imply weak convergence for boundary values of analytic functions?

Published on 13 Dec 2022 - 11:53

From pointwise summability to absolute summbability in $L^\infty$, approximately

Published on 29 Dec 2022 - 7:37

Prove that the $\,\dim(C^{\infty}/W) < \infty $

Published on 30 Dec 2022 - 6:00

Does Arzelà's theorem hold without hausdorfness?

Published on 25 Jan 2023 - 10:30

Maximal domain of unbounded linear differential operator

Published on 25 Jan 2023 - 19:54