本文選題：廣義Zbaganu常數(shù) + James常數(shù)　； 參考：《哈爾濱理工大學學報》2017年05期

【摘要】：在Banach空間X中引入了一個新的幾何常數(shù)C_z~((p))(X),稱為廣義的Zbaganu常數(shù)。計算了該常數(shù)在任何Banach空間X中的上下界估計值。同時,給出了X是一致非方的等價條件,并討論了C_z~((p))(X)常數(shù)與James常數(shù)之間的關系。最后將C_z~((p))(X)常數(shù)與不動點性質建立聯(lián)系。
[Abstract]:In this paper, a new geometric constant, CZS, is introduced into Banach space X, which is called generalized Zbaganu constant. The upper and lower bounds of the constant in any Banach space X are calculated. At the same time, we give the equivalent conditions for X to be uniformly nonsquare, and discuss the relation between the James constant and the C _ S _ S _ T _ X) constant. Finally, the relation between the C _ ZH _ T _ (X) constant and the fixed point property is established.
【作者單位】： 哈爾濱理工大學應用數(shù)學系;
【基金】：黑龍江省自然科學基金(A2015018)
【分類號】：O177.2
，

本文編號：1804373