Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Hahn decomposition of modular measures and applications

Avallone A., Barbieri G., Vitolo P.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2003

[Z] 43(2)

149-168

We prove a Hahn decomposition theorem for [ro]-additive modular measures on [ro]-complete lattice ordered effect algebras. As a consequence, we establish an isomorphism between the space of all bounded real-valued modular measures on a such structure and the space of all completely additive measures on a suitable Boolean algebra. Another consequence is a Uhl type theorem concerning relative compactness and convexity of the range of nonatomic modular measures with values in Banach spaces.

Uniform properties and hyperspaces of metrizable spaces

Costantini C., Vitolo P.

Journal of Applied Analysis

1999

Vol. 5, nr 2

187-196

Two equivalent metrics can be compared, with respect to their uniform properties, in several different ways. We present some of them, and then use one of these conditions to characterize which metrics on a space induce the same lower Hausdorff topology on the hyperspace. Finally, we focus our attention to complete metrics.