The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{\infty }$ Isometrically

Hermann Pfitzner. "The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{∞}$ Isometrically." Bulletin of the Polish Academy of Sciences. Mathematics 58.1 (2010): 31-38. <http://eudml.org/doc/281332>.

@article{HermannPfitzner2010,
abstract = {A Banach space is said to be L-embedded if it is complemented in its bidual in such a way that the norm between the two complementary subspaces is additive. We prove that the dual of a non-reflexive L-embedded Banach space contains $l^\{∞\}$ isometrically.},
author = {Hermann Pfitzner},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {-embedded Banach space; asymptotic copy of ; isometric copy of ; isometric copy of },
language = {eng},
number = {1},
pages = {31-38},
title = {The Dual of a Non-reflexive L-embedded Banach Space Contains $l^\{∞\}$ Isometrically},
url = {http://eudml.org/doc/281332},
volume = {58},
year = {2010},
}

TY - JOUR
AU - Hermann Pfitzner
TI - The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{∞}$ Isometrically
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 1
SP - 31
EP - 38
AB - A Banach space is said to be L-embedded if it is complemented in its bidual in such a way that the norm between the two complementary subspaces is additive. We prove that the dual of a non-reflexive L-embedded Banach space contains $l^{∞}$ isometrically.
LA - eng
KW - -embedded Banach space; asymptotic copy of ; isometric copy of ; isometric copy of
UR - http://eudml.org/doc/281332
ER -