The Kadec-Pełczyński-Rosenthal subsequence splitting lemma for JBW*-triple preduals

Antonio M. Peralta, and Hermann Pfitzner. "The Kadec-Pełczyński-Rosenthal subsequence splitting lemma for JBW*-triple preduals." Studia Mathematica 227.1 (2015): 77-95. <http://eudml.org/doc/285875>.

@article{AntonioM2015,
abstract = {Any bounded sequence in an L¹-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.},
author = {Antonio M. Peralta, Hermann Pfitzner},
journal = {Studia Mathematica},
keywords = {Kadec-Pełczyński-Rosenthal subsequence splitting lemma; JBW$^\ast $-triples; weak compactness; uniform integrability; L-embedded Banach spaces},
language = {eng},
number = {1},
pages = {77-95},
title = {The Kadec-Pełczyński-Rosenthal subsequence splitting lemma for JBW*-triple preduals},
url = {http://eudml.org/doc/285875},
volume = {227},
year = {2015},
}

TY - JOUR
AU - Antonio M. Peralta
AU - Hermann Pfitzner
TI - The Kadec-Pełczyński-Rosenthal subsequence splitting lemma for JBW*-triple preduals
JO - Studia Mathematica
PY - 2015
VL - 227
IS - 1
SP - 77
EP - 95
AB - Any bounded sequence in an L¹-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.
LA - eng
KW - Kadec-Pełczyński-Rosenthal subsequence splitting lemma; JBW$^\ast $-triples; weak compactness; uniform integrability; L-embedded Banach spaces
UR - http://eudml.org/doc/285875
ER -