福建师范大学学报（自然科学版）2011，Vol.27Issue(2)：21-24,4.
关于算子解析核的一个注记
A Note on Analytic Core of Operators
摘要
Abstract
Study the properties of the analytic core K(A) of an operator A on a Banach space X, and prove that if A satisfies the property (Kp) that its analytic core K(A - λI) =R(A-- λI)p for all complex numbers λ and some integer p ≥ 1 , then f(A) also satisfies property (Kp) for every non-constant function f that is analytic on an open neighborhood of ó(A).关键词
巴拿赫空间/解析核/有界线性算子/非常值多项式Key words
Banach space / analytic core/ bounded linear operator/ non constant polynomial分类
数理科学引用本文复制引用
欧阳景春..关于算子解析核的一个注记[J].福建师范大学学报（自然科学版）,2011,27(2):21-24,4.基金项目
国家自然科学基金资助项目(10771034) （10771034）
