$p\mapsto\Vert f\Vert_{L^p}$ is continuous.
121957
Is $p\mapsto \|f\|_p$ continuous?
36166
Uniform continuity on (0,1) implies boundedness
83494
Uniform continuity of $\ln(x)$
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
150554
proof that $f'$ is continuous at $a$
128911
Continuous extension of a real function
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
77621
Continuity of function mapping connected set to connected set
52922
let $f \colon [a,b] \to \mathbb{R}$ be continuous on $[a,b]$ and..
116732
Proving that a continuous map is surjective
73469
Continuity of the function $x\mapsto d(x,A)$ on a metric space
53173
Infinitely differentiable functions with compact support are dense in $L^p$
14516
The space of continuous functions $C([0,1])$ is not complete in the $L^2$ norm
33129
A linear map $S:Y^*\to X^*$ is weak$^*$ continuous if and only if $S=T^*$ for som $T\in B(X,Y)$
15579
Show that $f$ is uniformly continuous if limit exists
135661
Weakly continuous operators are continuous
45276
Continuous map on $S^2$