Weak nearly uniform soothness and worth property of $\psi$-direct sums of Banach spaces

@article{MikioKato2006,
abstract = {We shall characterize the weak nearly uniform smoothness of the $\psi $-direct sum $X \oplus _\psi Y$ of Banach spaces $X$ and $Y$. The Schur and WORTH properties will be also characterized. As a consequence we shall see in the $\ell _\infty $-sums of Banach spaces there are many examples of Banach spaces with the fixed point property which are not uniformly non-square.},
author = {Mikio Kato, Takayuki Tamura},
journal = {Commentationes Mathematicae},
keywords = {absolute norm; convex function; $\psi $-direct sum of Banach spaces; weak nearly uniform smoothness; Garcia-Falset coefficient; Schur property; WORTH property; uniform non-squareness; fixed point property},
language = {eng},
number = {1},
pages = {null},
title = {Weak nearly uniform soothness and worth property of $\psi $-direct sums of Banach spaces},
url = {http://eudml.org/doc/291575},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Mikio Kato
AU - Takayuki Tamura
TI - Weak nearly uniform soothness and worth property of $\psi $-direct sums of Banach spaces
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 1
SP - null
AB - We shall characterize the weak nearly uniform smoothness of the $\psi $-direct sum $X \oplus _\psi Y$ of Banach spaces $X$ and $Y$. The Schur and WORTH properties will be also characterized. As a consequence we shall see in the $\ell _\infty $-sums of Banach spaces there are many examples of Banach spaces with the fixed point property which are not uniformly non-square.
LA - eng
KW - absolute norm; convex function; $\psi $-direct sum of Banach spaces; weak nearly uniform smoothness; Garcia-Falset coefficient; Schur property; WORTH property; uniform non-squareness; fixed point property
UR - http://eudml.org/doc/291575
ER -