Study on the Work-fields of the Entire Methods

Abstract

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