S-可分解算子的若干对偶性质

Some Duality Properties for S-Decomposable Operators

本文讨论S—可分解的闭算子的一些对偶性质,不包括谱对偶定理。

The main results of this paper are as follows:IF T∈C(X)IS a densely defined s-decomposable operator where s oe(T)is closed and and S C,them for every closed set F C with F S or F S= we have If,in addition,we suppose 1) F is a closed neighborhood of ∞ or F is a bounded closed set.2) F^0 S or F∩S=φ,where F^0 stands for the in terlor of F.then