Accession Number : AD0730006

Title :   On a Question of Colin Clark Concerning Three Properties on Convex Sets.

Descriptive Note : Technical rept.,

Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS

Personal Author(s) : Klee,Victor

Report Date : JUN 1971

Pagination or Media Count : 7

Abstract : Three types of boundedness of convex sets were studied by Colin Clark and proved by him to be equivalent infinite-dimensional spaces. Examples are given here to show that the equivalence does not carry over to infinite-dimensional spaces, thus settling a problem raised by Clark. (Author)

Descriptors :   (*CONVEX SETS, FUNCTIONAL ANALYSIS), BANACH SPACE, VECTOR SPACES, TOPOLOGY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE