Riesz spaces, integration and sandwich theorems

Rok, strany: 1993, 213 - 230

Some definitions of integrals are introduced, for functions taking values in suitable Riesz spaces and with respect to finitely additive measures, in such a way that every bounded function is integrable. Furthermore, some Vitali-type convergence theorems are proved. Finally, some sandwich-type and Hahn-Banach type theorems are given, for finitely additive maps with values in $R\cup\{∞\}$, where $R$ is a Dedekind complete Riesz space and $∞$ is an ``extra'' element, by convention greater than all elements of $R$.

ISO 690:

Boccuto, A. 1993. Riesz spaces, integration and sandwich theorems. In Tatra Mountains Mathematical Publications, vol. 3, no.2, pp. 213-230. 1210-3195.

APA:

Boccuto, A. (1993). Riesz spaces, integration and sandwich theorems. Tatra Mountains Mathematical Publications, 3(2), 213-230. 1210-3195.