Operator spaces which are one-sided M-ideals in their bidual

Sonia Sharma. "Operator spaces which are one-sided M-ideals in their bidual." Studia Mathematica 196.2 (2010): 121-141. <http://eudml.org/doc/285839>.

@article{SoniaSharma2010,
abstract = {We generalize an important class of Banach spaces, the M-embedded Banach spaces, to the non-commutative setting of operator spaces. The one-sided M-embedded operator spaces are the operator spaces which are one-sided M-ideals in their second dual. We show that several properties from the classical setting, like the stability under taking subspaces and quotients, unique extension property, Radon-Nikodým property and many more, are retained in the non-commutative setting. We also discuss the dual setting of one-sided L-embedded operator spaces.},
author = {Sonia Sharma},
journal = {Studia Mathematica},
keywords = {complete -ideals; operator spaces; complete -projections; complete -projections; -embedded spaces; -embedded spaces; ternary rings of operators},
language = {eng},
number = {2},
pages = {121-141},
title = {Operator spaces which are one-sided M-ideals in their bidual},
url = {http://eudml.org/doc/285839},
volume = {196},
year = {2010},
}

TY - JOUR
AU - Sonia Sharma
TI - Operator spaces which are one-sided M-ideals in their bidual
JO - Studia Mathematica
PY - 2010
VL - 196
IS - 2
SP - 121
EP - 141
AB - We generalize an important class of Banach spaces, the M-embedded Banach spaces, to the non-commutative setting of operator spaces. The one-sided M-embedded operator spaces are the operator spaces which are one-sided M-ideals in their second dual. We show that several properties from the classical setting, like the stability under taking subspaces and quotients, unique extension property, Radon-Nikodým property and many more, are retained in the non-commutative setting. We also discuss the dual setting of one-sided L-embedded operator spaces.
LA - eng
KW - complete -ideals; operator spaces; complete -projections; complete -projections; -embedded spaces; -embedded spaces; ternary rings of operators
UR - http://eudml.org/doc/285839
ER -