A characterization theorem for the nearest point mappings of linearC-sets |
| |
| Authors: | Wayne C Bell |
| |
| Institution: | (1) Murray, Ky., U.S.A. |
| |
| Abstract: | Summary Suppose U is a set, F is a field of subsets of U, PAB is the set of all bounded finitely additive functions from F into ℝ, and P
A
+
is the set of non-negative valued elements of PAB. In this paper it is proved that if β is a mapping from P
A
+
into P
A
+
then β is the nearest point mapping for a linear C-set iff β commutes with a certain collection of nonlinear mappings.
Entrata in Redazione il 6 ottobre 1976. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
