整个方法工作领域的研究

T. Balasubramanian, A. Pandiarani
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引用次数: 0

摘要

本章的目的是研究整个方法的工作领域。定义了\(\Gamma\) A的不同子集,并建立了它们之间的关系。下面是本章中常见结果的一些例子:设P={x\(\epsilon\)\(\Gamma\) A: t(Ax)=(tA)x对于所有t \(\epsilon\)\(\Lambda\),使得(tA)y对于所有y \(\epsilon\)\(\Gamma\) A存在。}集合P是闭合的,P= \(\bar{\Gamma}\)其中在\(\Gamma\) A的半范数拓扑中取闭包
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Study on the Work-fields of the Entire Methods
The goal of this chapter is to investigate the work fields of the entire methods.The distinguished subsets of \(\Gamma\)A are defined , and the relationship between them is established..The following are some examples of usual outcomes in this chapter: Let P={x \(\epsilon\) \(\Gamma\)A : t(Ax)=(tA)x for all t \(\epsilon\) \(\Lambda\) such that  (tA)y exists for all y \(\epsilon\) \(\Gamma\)A}The set P is closed and P = \(\bar{\Gamma}\) where closure is taken in the semi-norm topology of \(\Gamma\)A
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