The Lattice Property of Uniform Amarts
Schmidt, Klaus D.
Ann. Probab., Tome 17 (1989) no. 4, p. 372-378 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this note it is shown that the $L^1$-bounded uniform amarts in $l^1$ form a vector lattice. This extends a result of Austin, Edgar and Ionescu Tulcea on real-valued $L^1$-bounded amarts and parallels a result of Ghoussoub on $L^1$-bounded order amarts.
Publié le : 1989-01-14
Classification:  Martingales,  uniform amarts,  stability properties,  60G40,  60G42,  60G48 
@article{1176991516,
     author = {Schmidt, Klaus D.},
     title = {The Lattice Property of Uniform Amarts},
     journal = {Ann. Probab.},
     volume = {17},
     number = {4},
     year = {1989},
     pages = { 372-378},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176991516}
}

Schmidt, Klaus D. The Lattice Property of Uniform Amarts. Ann. Probab., Tome 17 (1989) no. 4, pp.  372-378. http://gdmltest.u-ga.fr/item/1176991516/