Domination by positive Banach-Saks operators
Studia Mathematica (2006)
- Volume: 173, Issue: 2, page 185-192
- ISSN: 0039-3223
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topJulio Flores, and César Ruiz. "Domination by positive Banach-Saks operators." Studia Mathematica 173.2 (2006): 185-192. <http://eudml.org/doc/284472>.
@article{JulioFlores2006,
abstract = {Given a positive Banach-Saks operator T between two Banach lattices E and F, we give sufficient conditions on E and F in order to ensure that every positive operator dominated by T is Banach-Saks. A counterexample is also given when these conditions are dropped. Moreover, we deduce a characterization of the Banach-Saks property in Banach lattices in terms of disjointness.},
author = {Julio Flores, César Ruiz},
journal = {Studia Mathematica},
keywords = {Banach-Saks property; Banach lattice; positive operator; domination; subsequence splitting property},
language = {eng},
number = {2},
pages = {185-192},
title = {Domination by positive Banach-Saks operators},
url = {http://eudml.org/doc/284472},
volume = {173},
year = {2006},
}
TY - JOUR
AU - Julio Flores
AU - César Ruiz
TI - Domination by positive Banach-Saks operators
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 2
SP - 185
EP - 192
AB - Given a positive Banach-Saks operator T between two Banach lattices E and F, we give sufficient conditions on E and F in order to ensure that every positive operator dominated by T is Banach-Saks. A counterexample is also given when these conditions are dropped. Moreover, we deduce a characterization of the Banach-Saks property in Banach lattices in terms of disjointness.
LA - eng
KW - Banach-Saks property; Banach lattice; positive operator; domination; subsequence splitting property
UR - http://eudml.org/doc/284472
ER -
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