Sure Wins, Separating Probabilities and the Representation of Linear Functionals
Abstract
We discuss conditions under which a convex cone ⊂ admits a probability m such that k∈ m(k)≤0. Based on these, we also characterize linear functionals that admit the representation as finitely additive expectations. A version of Riesz decomposition based on this property is obtained as well as a characterisation of positive functionals on the space of integrable functions
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.