Results 201 to 210 of about 475 (237)

Weakly Purely Finitely Additive Measures

Canadian Journal of Mathematics, 1994
AbstractLet L be an orthomodular poset. A positive measure ξ on L is said to be weakly purely finitely additive if the zero measure is the only completely additive measure majorized by ξ. It was shown in [15] that, in an arbitrary orthomodular poset L, every positive measures μ is the sum v + ξ of a positive completely additive measure v and a weakly ...
openaire   +1 more source

On the Łoś-Marczewski Extension of Finitely Additive Measures

Real Analysis Exchange, 2012
The author broadens the Łoś-Marczewski extension theorem to finitely additive measures with values in Dedekind complete Riesz spaces. (See [\textit{J.~Łoś} and \textit{E.~Marczewski}, Fundam. Math. 36, 267--276 (1949; Zbl 0039.05202)].)
openaire   +3 more sources

Integration and Finitely Additive Measures

2020
This chapter deals with the integration of essentially bounded measurable functions with respect to finitely additive measures like those that featured in the Yosida–Hewitt representation theorem in Chap. 3. The chapter includes a study of integration of an essentially bounded function u with respect to elements of \(\mathfrak G\), which leads to the ...
openaire   +1 more source

Finitely Additive Measures on Projections in Finite W^* -Algebras

Bulletin of the London Mathematical Society, 1984
A finitely additive measure on projections in a \(W^*\)-algebra \({\mathcal A}\) is a non-negative real valued function \(\mu\) defind on the set \({\mathcal P}\) of all projections in \({\mathcal A}\), that satisfies \(\mu (E+F)=\mu (E)+\mu (F)\) when E,F\(\in {\mathcal P}\) and \(EF=0\). In the paper the following result of ''Gleason type'' is proved.
openaire   +2 more sources

Finitely Additive FTAP under an Atomic Reference Measure

2012
Let L be a linear space of real bounded random variables on the probability space \((\Omega,\mathcal{A},P_0)\). A finitely additive probability P on \(\mathcal{A}\) such that $$ P\sim P_0 \text{ and } E_P(X)=0\text{ for each }X\in L $$
Patrizia Berti, Luca Pratelli, Pietro Rigo   +2 more
openaire   +3 more sources

Uniqueness properties in finite-continuous additive measurement

Mathematical Social Sciences, 1981
Abstract Let ≳ be a binary relation on A × X , and suppose that there are real valued functions f on A and g on X such that, for all ax, by ∈ A × X , ax ≳ by if and only if f ( a )+ g ( x ) ⩾ f ( b )+ g ( y ). This paper establishes uniqueness properties for f and g when A is a finite set, X is a real interval with g ...
openaire   +1 more source

A Note on Finitely-Additive Measures

American Journal of Mathematics, 1947
Buck, Ellen F., Buck, R. C.
openaire   +2 more sources

Cancellation Conditions for Finite Two-Dimensional Additive Measurement

Journal of Mathematical Psychology, 2001
It is well known that a weak order similar on a finite set X=X(1)xX(2) has an additive real-valued order-preserving representation if and only if similar on X satisfies a denumerable scheme of cancellation conditions C(2), C(3), em leader. Condition C(K) is based on K distinct ordered pairs in XxX.
openaire   +2 more sources

Decomposition of Finitely Additive Markov Chains in Discrete Space

Mathematics, 2022
Anna Khuruma, Alexander Ivanovich Zhdanok   +1 more
exaly  

Finitely additive extensions of countably additive measures

1994
Let \({\mathcal A}\) be an algebra of subsets of a set \(X\) and \(\Sigma\) be the \(\sigma\)-algebra generated by \({\mathcal A}\). Examples are given of a positive \(\sigma\)-additive measure on \({\mathcal A}\) which has a finitely additive, non \(\sigma\)-additive extension on \(\Sigma\).
Chatterji, Srishti D., Löwing, D., Wright, J. D. Maitland   +2 more
openaire   +2 more sources