Results 241 to 250 of about 846 (275)

On Leader's \(V_p\) spaces of finitely additive measures

Rao, M.Bhaskara, Halevy, Avner
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Weakly Purely Finitely Additive Measures [PDF]

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 ...
Gottfried T. Rüttimann
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Range of finitely additive fuzzy measures

Fuzzy Sets and Systems, 1997
The authors present several results about the range of vector-valued (finitely additive) fuzzy measures \(\mu:{\mathcal A}\to E\) generalizing (essentially) known results for measures on Boolean algebras. Typical results are: The closure of \(\mu({\mathcal A})\) is convex if \(E\) is a \(B\)-convex Banach space, \({\mathcal A}\) has the interpolation ...
Anna Avallone, Giuseppina Barbieri
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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)].)
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Finitely additive mixtures of probability measures [PDF]

Journal of Mathematical Analysis and Applications, 2021
Let $D$ be a linear space of real bounded functions and linebreak $P:D ightarrowmathbb{R}$ a coherent functional. Also, let $mathcal{Q}$ be a collection of coherent functionals on $D$. Under mild conditions, there is a finitely additive probability $Pi$
Patrizia Berti
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Finitely Additive Measures

2020
This chapter introduces basic notation and definitions, for example, of partial ordering, lattice operations, absolute continuity and singularity, for finitely additive measures. The important notion of pure finite additivity of measures follows, and it is shown that every finitely additive measure is uniquely the sum of a countably additive and a ...
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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 ...
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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.
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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
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