The general linear equation on open connected sets

Paolo Leonetti, Jens Schwaiger

Fix non-zero reals ${\alpha }_1,\dots ,{\alpha }_n$ with $n\ge 2$ and let $K$ be a non-empty open connected set in a topological vector space such that ${\sum }_{i\le n}{\alpha }_{i}K\subseteq K$ (which holds,…