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

• Autorzy: Mikio Kato , Takayuki Tamura
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2006
• Tom: 46
• Numer: 1

Daty

wydano

2006

online

2017-12-19

Twórcy

autor

Mikio Kato

autor

Takayuki Tamura

Identyfikatory

DOI

10.14708/cm.v46i1.5211