Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 299-307
Citer cet article
V. M. Kadets; A. Yu. Kellerman. On complex strictly convex complexifications of Banach spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 299-307. http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a3/
@article{JMAG_2000_7_3_a3,
author = {V. M. Kadets and A. Yu. Kellerman},
title = {On complex strictly convex complexifications of {Banach} spaces},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {299--307},
year = {2000},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a3/}
}
TY - JOUR
AU - V. M. Kadets
AU - A. Yu. Kellerman
TI - On complex strictly convex complexifications of Banach spaces
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2000
SP - 299
EP - 307
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a3/
LA - ru
ID - JMAG_2000_7_3_a3
ER -
%0 Journal Article
%A V. M. Kadets
%A A. Yu. Kellerman
%T On complex strictly convex complexifications of Banach spaces
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2000
%P 299-307
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a3/
%G ru
%F JMAG_2000_7_3_a3
We show that every real separable normed space may be complexified to a complex strictly convex normed space. The same result is obtained also for some classes of nonseparable spases, for example, for spases $X$ with 1-norming separable subspases in $X^*$; however, a space $\ell_\infty(\Gamma)$ has no complex strictly convex complexifications.
