Why $L^1$ is not reflexive
127795
$L^1(μ)$ is finite dimensional if it is reflexive
63516
$C^1[0,1]$ is not complete with respect to sup norm
6955
A Banach space is reflexive if and only if its dual is reflexive
51395
$f\in L^1(\mathbb{R}) \cap C^1(\mathbb{R})$ and $f'\in L^1(\mathbb{R})$
129087
Proof that a sequence of continuous functions $(f_n)$ cannot converge pointwise to $1_\mathbb{Q}$ on $[0,1]$
117508
Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$
95074
Separability of $l^{p}$ spaces
118272
Show that $L^1$ is strictly contained in $(L^\infty)^*$
142174
Nonexistence of an injective $C^1$ map between $\mathbb R^2$ and $\mathbb R$
118903
The sup norm on $C[0,1]$ is not equivalent to another one, induced by some inner product
97391
Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space
108740
$C^1[a,b]$ is closed in $C[a,b]$
137921
Reflexivity, Transitivity, Symmertry of the square of an relation
1332
Pointwise convergence and convergence of integrals implies $L^1$ convergence
82334
For $f$ in dual space, there exists $x$ with norm 1 and $f(x)=\|f\|$ if space is reflexive (and nontrivial)
158551
If $X \perp Y$ and $X+Y \in L^1$ then $X,Y \in L^1$
4717
The union of linear subspaces is not necessarily a subspace