paurea<p>Anyone can give me references to study seminorms with unit balls which are convex sets? In particular, the relationship with seminorms with unit balls which are Minkowski sums of said convex sets and their symmetries. What properties can be derived from the original seminorms and so on... Books, papers, anything?<br /><a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="tag">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/norm" class="mention hashtag" rel="tag">#<span>norm</span></a> <a href="https://mathstodon.xyz/tags/seminorm" class="mention hashtag" rel="tag">#<span>seminorm</span></a> <a href="https://mathstodon.xyz/tags/minkowski" class="mention hashtag" rel="tag">#<span>minkowski</span></a> <a href="https://mathstodon.xyz/tags/FunctionalAnalysis" class="mention hashtag" rel="tag">#<span>FunctionalAnalysis</span></a></p>