Abstract. The paper deals with direct additivity of selectors, as well for convex as for star bodies. Sections 3 and 4 concern selectors for convex bodies. In Section 5 two methods of extending a selector for convex bodies to a selector for star bodies are considered, both preserving direct additivity.
2000 Mathematics Subject Classification. 52A20, 52A30, 52A99.
Key words and phrases. Convex bodies, star bodies, selectors, direct sum.