应用泛函分析学报2007，Vol.9Issue(1)：12-17,6.
关于广义二次算子
On Generalized Quadratic Operators
摘要
Abstract
Let (B)(H) denote the set of all bounded linear operators on a Hilbert space (H). (A)∈(B)(H) is said to be generalized quadratic operator if A satisfies AP = PA = A and the quadratic equation A2 = αA + βP,where α,β∈ C and P ∈ (B)(H) is nonzero idempotent. Let (L)(P) denote the set of generalized quadratic operators with respect to an idempotent P. In this note,using the technique of operator theory,the spectrum and the group inverse of (L)(P) have been studied. This extends the conclusions of R. W. Farebrother and G. Trenkler.关键词
广义二次算子/幂等算子/谱/群逆Key words
generalized quadratic operator/idempotent/spectrum/group inverse分类
数理科学引用本文复制引用
段樱桃,杜鸿科..关于广义二次算子[J].应用泛函分析学报,2007,9(1):12-17,6.基金项目
This research was supported by National Science Foundation of China(10571113) （10571113）
