 |
Journal articles
The Kadec–Pełczyński–Rosenthal subsequence splitting lemma for JBW$^∗$-triple preduals
Abstract : Any bounded sequence in an $L^1$-space admits a subsequence which can be written as the sum of a sequence of pairwise disjoint elements and a sequence which forms a uniformly integrable or equiintegrable (equivalently, a relatively weakly compact) set. This is known as the Kadec–Pełczyński–Rosenthal subsequence splitting lemma and has been generalized to preduals of von Neuman algebras and of JBW∗-algebras. In this note we generalize it to JBW$^∗$-triple preduals.
https://hal.archives-ouvertes.fr/hal-01281179
Contributor : Hermann Pfitzner <>
Submitted on : Tuesday, March 1, 2016 - 5:14:10 PM
Last modification on : Thursday, May 3, 2018 - 3:32:07 PM
Contributor : Hermann Pfitzner <>
Submitted on : Tuesday, March 1, 2016 - 5:14:10 PM
Last modification on : Thursday, May 3, 2018 - 3:32:07 PM