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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 Connect in order to contact the contributor
Submitted on : Tuesday, March 1, 2016 - 5:14:10 PM
Last modification on : Tuesday, October 12, 2021 - 5:20:13 PM
Contributor : Hermann Pfitzner Connect in order to contact the contributor
Submitted on : Tuesday, March 1, 2016 - 5:14:10 PM
Last modification on : Tuesday, October 12, 2021 - 5:20:13 PM