TY - JOUR
AU - Ferrer, Jesús
PY - 2003/10/01
Y2 - 2023/12/05
TI - Quasi-pseudometric properties of the Nikodym-Saks space
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 4
IS - 2
SE -
DO - 10.4995/agt.2003.2029
UR - https://ojs.upv.es/index.php/AGT/article/view/2029
SP - 243-253
AB - <p>For a non-negative finite countably additive measure μ defined on the σ-field Σ of subsets of Ω, it is well known that a certain quotient of Σ can be turned into a complete metric space Σ (Ω), known as the Nikodym-Saks space, which yields such important results in Measure Theory and Functional Analysis as Vitali-Hahn-Saks and Nikodym's theorems. Here we study some topological properties of Σ (Ω) regarded as a quasi-pseudometric space.</p>
ER -