Displaying similar documents to “A Prokhorov's theorem for Banach lattice valued measures.”

Projective limits of vector measures.

Fidel José Fernández y Fernández-Arroyo, Pedro Jiménez Guerra (1990)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

A necessary and sufficient condition for the existence of the projective limit of measures with values in a locally convex space is given. A similar theorem for measures with values in different locally convex spaces (under certain conditions) is given too (in this case, the projective limit is valued in the projective limit of these spaces). Finally, a result about the projective limit of vector measures is stated.

Structure of measures on topological spaces.

José L. de María, Baltasar Rodríguez Salinas (1989)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

The Radon spaces of type (T), i.e., topological spaces for which every finite Borel measure on Omega is T-additive and T-regular are characterized. The class of these spaces is very wide and in particular it contains the Radon spaces. We extend the results of Marczewski an Sikorski to the sygma-metrizable spaces and to the subsets of the Banach spaces endowed with the weak topology. Finally, the completely additive families of measurable subsets related with the works of Hansell, Koumoullis,...

Conical measures and vector measures

Igor Kluvánek (1977)

Annales de l'institut Fourier

Similarity:

Every conical measure on a weak complete space E is represented as integration with respect to a σ -additive measure on the cylindrical σ -algebra in E . The connection between conical measures on E and E -valued measures gives then some sufficient conditions for the representing measure to be finite.