(I)-envelopes of unit balls and James' characterization of reflexivity

Ondřej F. K. Kalenda. "(I)-envelopes of unit balls and James' characterization of reflexivity." Studia Mathematica 182.1 (2007): 29-40. <http://eudml.org/doc/284887>.

@article{OndřejF2007,
abstract = {We study the (I)-envelopes of the unit balls of Banach spaces. We show, in particular, that any nonreflexive space can be renormed in such a way that the (I)-envelope of the unit ball is not the whole bidual unit ball. Further, we give a simpler proof of James' characterization of reflexivity in the nonseparable case. We also study the spaces in which the (I)-envelope of the unit ball adds nothing.},
author = {Ondřej F. K. Kalenda},
journal = {Studia Mathematica},
keywords = {(I)-envelope; Grothendieck space; James's characterization of reflexivity; -spaces; real-valued measurable cardinal},
language = {eng},
number = {1},
pages = {29-40},
title = {(I)-envelopes of unit balls and James' characterization of reflexivity},
url = {http://eudml.org/doc/284887},
volume = {182},
year = {2007},
}

TY - JOUR
AU - Ondřej F. K. Kalenda
TI - (I)-envelopes of unit balls and James' characterization of reflexivity
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 1
SP - 29
EP - 40
AB - We study the (I)-envelopes of the unit balls of Banach spaces. We show, in particular, that any nonreflexive space can be renormed in such a way that the (I)-envelope of the unit ball is not the whole bidual unit ball. Further, we give a simpler proof of James' characterization of reflexivity in the nonseparable case. We also study the spaces in which the (I)-envelope of the unit ball adds nothing.
LA - eng
KW - (I)-envelope; Grothendieck space; James's characterization of reflexivity; -spaces; real-valued measurable cardinal
UR - http://eudml.org/doc/284887
ER -