基于微分相似理论的Gateaux空间的猜想  

作　　者：叶久龄 

机构地区：[1]南京财经大学,南京210046

出　　处：《科学与财富》2014年第11期22-22,共1页Sciences & Wealth

摘　　要：在非线性泛函分析的领域中，对于Frechet空间、Frechet微分以及Gateaux微分都有了相应的理论研究，作者希望通过对这些理论研究的反向解析构造出类似于Frechet空间的Gateaux空间并在研究过程中得到了最优微分的猜想与假设。In the nonlinear functional analysis＇s field,we have the relevant theoretical research about Frechet Space,Frechet differential operator and Gateaux differential operator. However,the author wants to establish the Gateaux Space which is similar to the Frechet Space by reverse analyzing the former research. And the author also achieves the conjecture and the design of the best differentiation function by the process of the research.

关 键 词：Gateaux空间猜想 Frechet微分 FRECHET空间 

分 类 号：O172.1[理学—数学]