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|Title: ||Strong convergence of positive subpramarts in Banach lattices|
|Authors: ||Egghe, Leo|
|Issue Date: ||1983|
|Citation: ||Bulletin of the Polish Academy of Sciences, 31 (9-12), p. 415-426|
|Abstract: ||The author gives a (strong) sufficient condition that insures the norm convergence of positive subpramarts valued in Banach lattices with the Radon-Nikodym property. The method consists of extending a lemma of Neveu about sequences of real-valued submartingales to be able to apply the techniques of Davis-Ghoussoub-Lindenstrauss. A recent result of M. Talagrand [Isr. J. Math. 44, 213-220 (1983; Zbl 0523.46016)] gives the result without the additional condition imposed by the author. This theorem of Talagrand states that every separable Banach lattice with the Radon-Nikodym property is actually a dual Banach lattice.|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
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