Spaces of d.c. Mappings on Arbitrary Intervals

Abstract

M. Zippin (2000) obtained results on the structure of the Banach space of all d.c. functions on [0,1].

We give a generalization to the case of the space of all d.c. Banach space valued mappings.

The case of d.c. mappings on an unbouned interval is also considered.

Keywords

• D.c. function
• d.c. mapping
• Banach space
• vector measure
• vector distribution.