Additive, Almost Additive and Asymptotically Additive Potential Sequences Are Equivalent
نویسندگان
چکیده
منابع مشابه
Finitely Additive Equivalent
Let L be a linear space of real bounded random variables on the probability space (Ω,A, P0). There is a finitely additive probability P on A, such that P ∼ P0 and EP (X) = 0 for all X ∈ L, if and only if c EQ(X) ≤ ess sup(−X), X ∈ L, for some constant c > 0 and (countably additive) probability Q on A such that Q ∼ P0. A necessary condition for such a P to exist is L− L∞ ∩ L∞ = {0}, where the cl...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2020
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-020-03780-7