Additive functions and singular measures
Additive functions modulo a countable subgroup of ℝ
We solve the mod G Cauchy functional equation f(x+y) = f(x) + f(y) (mod G), where G is a countable subgroup of ℝ and f:ℝ → ℝ is Borel measurable. We show that the only solutions are functions linear mod G.
Additive Gruppen mit vorgegebener Hausdorffscher Dimension.
Additive set-functions in abstract spaces
Additive set-functions in abstract spaces.
Additivity of Certain Functionals and the Construction of Invariant Integrals.
Addresses
Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions
Admissible functions in two-scale convergence.
Admissible transformations of measures.
Affine invariant contractions of simplices
Affine Invariant -systems
Aggregation operators and fuzzy measures on hypographs
In a fuzzy measure space we study aggregation operators by means of the hypographs of the measurable functions. We extend the fuzzy measures associated to these operators to more general fuzzy measures and we study their properties.
Algebraic genericity of strict-order integrability
We provide sharp conditions on a measure μ defined on a measurable space X guaranteeing that the family of functions in the Lebesgue space (p ≥ 1) which are not q-integrable for any q > p (or any q < p) contains large subspaces of (without zero). This improves recent results due to Aron, García, Muñoz, Palmberg, Pérez, Puglisi and Seoane. It is also shown that many non-q-integrable functions can even be obtained on any nonempty open subset of X, assuming that X is a topological space and...
Algebraic Hulls and the Folner Property.
Algebraic ramifications of the common extension problem for group-valued measures
Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
Algebraic structures generated by almost continuous functions
Algebras difusas.
En este trabajo se propone una estructura de álgebra difusa (borrosa) basada en la distinción entre difusidad extensiva y comprehensiva, desarrollando y conectando los trabajos de Nahmias sobre variables difusas, de Klement sobre medibilidad difusa y de Nowakowska sobre estructuras de conceptos.
Algebras of Borel measurable functions
We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
Algèbres d’ensembles sur lesquelles toutes les mesures -additives sont bornées