Definition of Local Convex Spaces
120345
Topology induced by seminorms and initial topology
154762
Dual space of a finite dimensional normed space
116851
Show that f(x) is convex
60887
$d_A(x) = \inf_{a \in A} \|x-a\|$ is convex if and only if $A$ is convex
46892
Inclusion of $L^p$ spaces
24646
Distance between local maximum and local minimum
121889
Neighbourhood filter of a uniform space
147420
Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
57514
The Minkowski sum of two convex sets is convex
55866
Convex + Monotone =? Convex
15491
Prove that $f:\mathbb R^n\to\mathbb R$ is affine if and only if it is convex and concave
82198
Proving Convexity of Multivariate Function using Conditional Univariate Convexity
157830
Definition of locally pathwise connected
69650
In $\mathbb{R}^n$, locally lipschitz on compact set implies lipschitz
87207
Prove that the support function of an arbitrary set $A\subset\mathbb R^n$ is convex
71829
Is closure of convex subset of $X$ is again a convex subset of $X$?
15924
Convexity and strong lower semicontinuity imply weak lower semicontinuity