On several types of convergence and divergence in archimedean Riesz spaces. (English) Zbl 0807.46005
Several concepts of convergence, divergence, and unboundedness in archimedean Riesz spaces are defined and studied. The introduced notions will be used in order to obtain an extension of the Ornstein ratio ergodic theorem in the forthcoming paper [ibid. 169, No. 2, 562-584 (1992; review below)].
MSC:
| 46A40 | Ordered topological linear spaces, vector lattices |
Citations:
Zbl 0807.46006References:
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