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Additive Functionals on Groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1962
The kernel of a non-trivial linear functional φ on a linear space E is a maximal proper linear subspace of E which determines φ up to a non-zero multiple. Does a similar result hold for homomorphisms of a group G into the additive group R of the real numbers?
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Additive functions

Analysis Mathematica, 1986
[This article is reviewed together with the following.] Let ...
Daróczy, Z., Kátai, I.
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Utility as an Additive Set Function

Mathematics of Operations Research, 1992
Foundations for additive models of subset evaluation are stated by axioms for a preference relation on a family S of subsets of X that cover X. The axiomatizations include cases in which S is arbitrary, S contains only finite subsets of X, and S is the set of all subsets of X. Expected utility with subsets as outcomes is also considered.
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Additively decomposed quasiconvex functions

Mathematical Programming, 1986
The authors give a new definition of the convexity index introduced in a recently published paper by \textit{G. Debreu} and \textit{T. C. Koopmans} [Math. Program. 24, 1-38 (1982; Zbl 0495.90063)]. By means of this definition they give then characterizations of the quasiconvexity of the function s defined on \(X_ 1\times X_ 2\times...\times X_ p\) by \[
Jean-Pierre Crouzeix, Per Olov Lindberg
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On Finitely Distributed Additive Functions

Journal of the London Mathematical Society, 1975
A real-valued additive function \(f\) has been defined by \textit{P. Erdős} [Ann. Math. (2) 47, 1--20 (1946; Zbl 0061.07902)] to be finitely distributed if there exist positive constants \(c_1\) and \(c_2\) and a sequence \(\{x_k\}\) of positive numbers tending to infinity so that for each \(k\) there is an interval whose length is \(\le c_2 ...
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On additive generators of overlap functions

Fuzzy Sets and Systems, 2016
Graçaliz Pereira Dimuro   +2 more
exaly  

The Additive Generators of <i>n</i>-Dimensional Overlap Functions

Journal of Applied Mathematics and Physics, 2021
exaly  

Orthogonally additive polynomials on spaces of continuous functions

Journal of Mathematical Analysis and Applications, 2005
David Pérez-García   +1 more
exaly  

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