On Radon measures on first-countable spaces
On regular and sigma-smooth two valued measures and lattice generated topologies.
On separable supports of Borel measures.
On separation of lattices.
On strongly measure replete lattices and the general Wallman remainder
On the almost Lindelöf property in products of separable metric spaces
On the classification of Markov chains via occupation measures
We consider a Markov chain on a locally compact separable metric space and with a unique invariant probability. We show that such a chain can be classified into two categories according to the type of convergence of the expected occupation measures. Several properties in each category are investigated.
On the differentiation theorem in metric groups
On the Hausdorff measures associated to the Carathéodory and Kobayashi metrics
On the inner Daniell-Stone and Riesz representation theorems.
On the measures of DiPerna and Majda
DiPerna and Majda generalized Young measures so that it is possible to describe “in the limit” oscillation as well as concentration effects of bounded sequences in -spaces. Here the complete description of all such measures is stated, showing that the “energy” put at “infinity” by concentration effects can be described in the limit basically by an arbitrary positive Radon measure. Moreover, it is shown that concentration effects are intimately related to rays (in a suitable locally convex geometry)...
On the setwise convergence of sequences of measures.
On the uniform limit of quasi-continuous functions.
Estudiamos cuando el límite uniforme de una red de funciones cuasi-continuas con valores en un espacio localmente convexo X es también una función cuasi-continua, resaltando que esta propiedad depende del menor cardinal de un sistema fundamental de entornos de O en X, y estableciendo condiciones necesarias y suficientes. El principal resultado de este trabajo es el Teorema 15, en el que los resultados de [7] y [10] son mejorados, en relación al Teorema de L. Schwartz.
On uniformly regular measures
On various notions of regularity in ordered spaces
On weakly convergent nets in spaces of non-negative measures
Order convergence of vector measures on topological spaces
Let be a completely regular Hausdorff space, a boundedly complete vector lattice, the space of all, bounded, real-valued continuous functions on , the algebra generated by the zero-sets of , and a positive linear map. First we give a new proof that extends to a unique, finitely additive measure such that is inner regular by zero-sets and outer regular by cozero sets. Then some order-convergence theorems about nets of -valued finitely additive measures on are proved, which extend...
Outer measure analysis of topological lattice properties.
Outer measures and associated lattice properties.
Outer measures and weak regularity of measures.