Abstract representing kernels.
Acknowledgement of priority: Second derivates of convex functions.
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.
Algunas Caracterizaciones De Medidas Espectrales Extendibles.
Amarts of finite order and Pettis Cauchy sequences of Bochner integrable functions in locally convex spaces
An Egoroff-type theorem for set-valued measurable functions.
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
An existence result on partitioning of a measurable space: Pareto optimality and core
This paper investigates the problem of optimal partitioning of a measurable space among a finite number of individuals. We demonstrate the sufficient conditions for the existence of weakly Pareto optimal partitions and for the equivalence between weak Pareto optimality and Pareto optimality. We demonstrate that every weakly Pareto optimal partition is a solution to the problem of maximizing a weighted sum of individual utilities. We also provide sufficient conditions for the existence of core partitions...
An integral for nonmeasurable correspondences and the shapley-interval.
Analytic joint spectral radius in a solvable Lie algebra of operators
We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.
Another note on Kalton's theorems
Applications of autoreproducing kernel moduli to the study on interpolability and minimality of a class of stationary Hilbertian varieties
Applications of set-valued Radon-Nikodym theorems to convergence of multivalued L...-amarts.
Approximation from the exterior of Carathéodory multifunctions
Arzela - Ascoli's Theorem for Riemann - Integrable Functions on Compact Spaces.
Banach-valued Henstock-Kurzweil integrable functions are McShane integrable on a portion
It is shown that a Banach-valued Henstock-Kurzweil integrable function on an -dimensional compact interval is McShane integrable on a portion of the interval. As a consequence, there exist a non-Perron integrable function and a continuous function such that for all .
Barrelledness of the space of Dobrakov integrable functions
Bemerkung zum Bochnerschen Integral
Bernoulli convolutions-an application of set theory in analysis
Biprojective tensor products and convolutions of vector-valued measures on a compact group