Is $L^1(\mathbb{R}^n)\cap L^2(\mathbb{R}^n)$ dense in $L^2(\mathbb{R}^n)$?
67244
Why is $L^1(\mathbb{R}^n) \cap L^2(\mathbb{R}^n)$ dense in $ L^2(\mathbb{R}^n)$?
124688
Question about a metric on $\mathbb{R}^2$
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
51395
$f\in L^1(\mathbb{R}) \cap C^1(\mathbb{R})$ and $f'\in L^1(\mathbb{R})$
96458
Does $X_n \overset{L^2}{\rightarrow} X$ imply $X_n^2 \overset{L^1}{\rightarrow} X^2$?
12212
Showing a certain subspace of Hilbert space is dense
31002
Proving that the unit ball in $\ell^2(\mathbb{N})$ is non-compact
68490
For $x\in\mathbb R\setminus\mathbb Q$, the set $\{nx-\lfloor nx\rfloor: n\in \mathbb{N}\}$ is dense on $[0,1)$
121198
$W^{1,1}(\mathbb{R}^n)$ is not compactly embedded in $L^1(\mathbb{R}^n)$?
35626
Is $(\mathbb{R}^2, lexicographic) \cong (\mathbb{R}, discrete)\times (\mathbb{R}, usual)$?
37953
Primary Decomposition of $\mathbb{R^n}$ under T
118134
If $\psi h$ is in $L^2$ for all $h\in L^2$, must $\psi$ be essentially bounded?
28511
Hypervolume of a $N$-dimensional ball in $p$-norm
158582
Prove that $\{\frac{\phi (n)}{n}\}_{n \in \Bbb N}$ is dense in $[0,1]$
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
134065
A question about an $n$-dimensional subspace of $\mathbb{F}^{S}$.