
The paper deals with sequences of measures on special effect algebras. The author generalizes the Nykodym property, Grothendiek property, and the Vitali-Hahn-Saks property studied by \textit{W. Schachermayer} [Diss. Math. 204, 1--33 (1982; Zbl 0522.28007)] from Boolean algebras to special effect algebras called quantum natural algebras. Sufficient conditions are given guaranteeing the above mentioned properties and some related results are obtained.
effect algebras, measure, Classical measure theory, Quantum logic
effect algebras, measure, Classical measure theory, Quantum logic
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 3 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
