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

【摘要】：在Banach空間X中引入了一個(gè)新的幾何常數(shù)C_z~((p))(X),稱為廣義的Zbaganu常數(shù)。計(jì)算了該常數(shù)在任何Banach空間X中的上下界估計(jì)值。同時(shí),給出了X是一致非方的等價(jià)條件,并討論了C_z~((p))(X)常數(shù)與James常數(shù)之間的關(guān)系。最后將C_z~((p))(X)常數(shù)與不動(dòng)點(diǎn)性質(zhì)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(xué)應(yīng)用數(shù)學(xué)系;
【基金】：黑龍江省自然科學(xué)基金(A2015018)
【分類(lèi)號(hào)】：O177.2
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本文編號(hào)：1804373