Supremum of a functional on $C^1([0,1])$
131475
Example of the equality of an inequality
34677
Sequence Converging to Supremum
74608
Convex function as supremum of countably many affine functions
118903
The sup norm on $C[0,1]$ is not equivalent to another one, induced by some inner product
77855
Prove that if $A$ has a maximum, then the maximum must be the supremum
38761
Is the $ L^{p}$$[0,1]$ norm continuous in p?
149564
Showing that a function is in $L^1$
134575
Show that the mapping $f → f~'$ from $C^1([0 , 1])$ to $C([0 , 1])$ is not continuous.
76140
The supremum norm is submultiplicative
88311
Linear functional f(v)=0 imply v=0
111475
Uniform convergence and the supremum theorem
81203
Supremum and infimum of sets
61640
Prove c exists for f:[0,1] -> R
93511
Prove that $C^1([a,b])$ with the $C^1$- norm is a Banach Space
142232
Functional Analysis. Continuous extensions of linear functionals.
13086
Overview of basic facts about Cauchy functional equation
136321
Show that if $\sup\big\{\sum\lvert\, f(a)\rvert\big\}  0\}$ is countable.