Linear minimal space

This paper deals with minimal linear spaces, m-continuity and m  -boundedness. In particular, it is found that in a linear minimal space (X,MX,M) the assignment x ↦ t0x + x0 from X to X is m-continuous. On the other hand, the convex hull of an m-neighborhood of 0 is an m  -neighborhood if (X,MX,M) has property U.