L-ORTHOGONALLY SCATTERED MEASURES
L-ORTHOGONALLY SCATTERED MEASURES
This chapter discusses three problems concerning ℓ-orthogonally scattered measures: (1) Hahn extension of these measures, (2)representation theorem for such measures, and (3) Radon–Nikodym theorem for these measures. It also indicates some applications to random measures. In general, a countably additive orthogonally scattered measure does not admit a Hahn extension with …