Convex subset of a linear space
107321
How to show convexity of a ball in metric space?
73074
$f \text{ convex }\Rightarrow \forall (x_0,f(x_0))\in \Gamma(f) \exists a : \forall x\in \mathbb{R}, f(x) \ge a(x-x_0)+f(x_0)$
97584
How to prove this property using convexity?
123732
Proving that the maximum of two convex functions is also convex
25017
Why is every $p$-norm convex?
40403
Show that the function is convex
111561
Distance of a point to a subset.
43504
Proving the existence of a complement subspace $U' \subset V$.
66151
Solving inequality for convex functions.
74608
Convex function as supremum of countably many affine functions
121636
General linear group of a vector space
144656
Linear functional and a bounded norm
71619
Proving that a convex function is Lipschitz
25171
Why does a convex set have the same interior points as its closure?
106718
Prove if C is midpoint convex and closed then its a convex set
41047
Subspace Topology of a subset
2287
If a set is linearly independent, a finite subset of that set is also linearly independent