A new geometrical constant of Banach spaces and the uniform normal structure

• Autorzy: Ken-Ichi Mitani , Kichi-Suke Saito
• Języki publikacji: EN

Abstrakty

EN

We introduce and study a new geometrical constant \(\gamma_{X,\psi\) of a Banach space \(X\), by using the notion of \(\psi\)-direct sum given in [Y. Takahashi, M. Kato and K.-S. Saito, J. Inequal. Appl. 7 (2002), 179-186]. At first, we characterize uniform non-squareness in terms of \(\gamma_{X,\psi}\). Moreover, we consider Banach spaces having uniform normal structure.

Słowa kluczowe

EN

absolute norm; \(\psi\)-direct sum; uniformly non-square; uniformnormal structure

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: 49
• Numer: 1

Daty

wydano

2009

online

2017-12-19

Twórcy

autor

Ken-Ichi Mitani

autor

Kichi-Suke Saito

Identyfikatory

DOI

10.14708/cm.v49i1.5274