SOME GEOMETRIC CONSTANTS AND THE EXTREME POINTS OF THE UNIT BALL OF BANACH SPACES

被引：0

作者：

Mizuguchi, Hiroyasu ^{[1
]}

机构：

[1] Niigata Univ, Dept Math Sci, Grad Sch Sci & Technol, Niigata 9502181, Japan

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2015年 / 60卷 / 01期

关键词：

absolute normalized norm; psi-direct sum; extreme point; von Neumann-Jordan constant; James type constant; von Neumann-Jordan type constant;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2009, Mitani and Saito introduced and studied a geometric constant gamma X,(psi) of a Banach space X, by using the notion of psi-ditect sum. For t is an element of[0,1], the constant gamma X,(psi)(t) is defined as a supremum taken over all elements in the unit sphere of X. In this paper, we obtain that, for a Banach space which has a predual Banach space, the supremum can be taken over all extreme points of the unit ball. Then we calculate gamma X,(psi)(t) for some Banach spaces.

引用

页码：59 / 70

页数：12

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