Accession Number : AD0445688


Title :   A RADON-NIKODYM THEOREM IN DIMENSION LATTICES,


Corporate Author : AIR FORCE CAMBRIDGE RESEARCH LABS HANSCOM AFB MA


Personal Author(s) : Holland, S S , Jr


Report Date : 12 Jul 1962


Pagination or Media Count : 22


Abstract : It is the primary purpose of this paper to prove that: if either a gage m or a dimension function D is given, then the remaining two mappings can be constructed so that the diagram is commutative; i.e., the equation m = poD holds. Moreover, if two of m, p, D are given, then the third satisfying m = poD is uniquely determined. (Author)


Descriptors :   *ALGEBRA , OPERATORS(MATHEMATICS) , THEOREMS , METAMATHEMATICS , MAPPING , FIELD THEORY , FUNCTIONS(MATHEMATICS) , FUNCTIONAL ANALYSIS


Distribution Statement : APPROVED FOR PUBLIC RELEASE