AbstractLet μ be a measure on a measure space (X,Λ) with values in Rnandfbe the density of μ with respect to its total variation. We show that the range R(μ)={μ(E):E∈Λ} of μ is strictly convex if and only if the determinant det[f(x1),…,f(xn)] is nonzero a.e. onXn. We apply the result to a class of measures containing those that are generated by Chebyshev systems
AbstractA theorem of Lyapunov states that the range R(μ) of a nonatomic vector measure μ is compact ...
On a Boolean algebra we consider the topology u induced by a finitely additive measure μ with values...
On a Boolean algebra we consider the topology u induced by a finitely additive measure μ with values...
Let μ be a measure on a measure space (X,Λ) with values in Rnandfbe the density of μ with respect to...
Let mu be a measure on a measure space (X, Lambda) with values in R-n and f be the density of mu wit...
Let mu be a measure on a measure space (X, Lambda) with values in R-n and f be the density of mu wit...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
In this paper we resume the most important results that we obtained in our papers [1,2,5,6,7] concer...
We give an alternative proof to the well known fact that each convex compact centrally symmetric sub...
We give an alternative proof to the well known fact that each convex compact centrally symmetric sub...
Given a Banach space X, we consider the problem of when the range of a non-atomic, and σ-additi...
AbstractFor a set K in a locally convex topological vector space X there exists a set T, a σ-algebra...
AbstractWe provide a simpler proof of Gouweleeuw's theorem about the convexity of the range of an Rn...
A theorem of Lyapunov states that the range R(μ) of a nonatomic vector measure μ is compact and conv...
AbstractFor a set K in a locally convex topological vector space X there exists a set T, a σ-algebra...
AbstractA theorem of Lyapunov states that the range R(μ) of a nonatomic vector measure μ is compact ...
On a Boolean algebra we consider the topology u induced by a finitely additive measure μ with values...
On a Boolean algebra we consider the topology u induced by a finitely additive measure μ with values...
Let μ be a measure on a measure space (X,Λ) with values in Rnandfbe the density of μ with respect to...
Let mu be a measure on a measure space (X, Lambda) with values in R-n and f be the density of mu wit...
Let mu be a measure on a measure space (X, Lambda) with values in R-n and f be the density of mu wit...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
In this paper we resume the most important results that we obtained in our papers [1,2,5,6,7] concer...
We give an alternative proof to the well known fact that each convex compact centrally symmetric sub...
We give an alternative proof to the well known fact that each convex compact centrally symmetric sub...
Given a Banach space X, we consider the problem of when the range of a non-atomic, and σ-additi...
AbstractFor a set K in a locally convex topological vector space X there exists a set T, a σ-algebra...
AbstractWe provide a simpler proof of Gouweleeuw's theorem about the convexity of the range of an Rn...
A theorem of Lyapunov states that the range R(μ) of a nonatomic vector measure μ is compact and conv...
AbstractFor a set K in a locally convex topological vector space X there exists a set T, a σ-algebra...
AbstractA theorem of Lyapunov states that the range R(μ) of a nonatomic vector measure μ is compact ...
On a Boolean algebra we consider the topology u induced by a finitely additive measure μ with values...
On a Boolean algebra we consider the topology u induced by a finitely additive measure μ with values...
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