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

Commentationes Mathematicae (2006)

- Volume: 46, Issue: 1
- ISSN: 2080-1211

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topMikio Kato, and Takayuki Tamura. "Weak nearly uniform soothness and worth property of $\psi $-direct sums of Banach spaces." Commentationes Mathematicae 46.1 (2006): null. <http://eudml.org/doc/291575>.

@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 -

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