Drazin序的若干性质

doi:10.6040/j.issn.1671-9352.0.2019.407

摘要/Abstract

摘要： 设B(H)是Hilbert空间H上的全体有界线性算子构成的集合,首先研究Drazin序在H=R(A^k)⊕N(A^k)空间分解下的几个刻画及相关性质,其次将幂等元的Drazin逆推广到一般代数中,进而研究Drazin序的性质。

关键词: Drazin逆, Drazin序, 幂等元

Abstract: Let B(H) be the set of all bounded linear operators on Hilbert space H. Firstly, some characterizations and related properties of Drazin order in H=R(A^k)⊕N(A^k) space are studied. Secondly, the Drazin inverse of idempotent is generalized in the general algebra, and then some properties of Drazin order are studied.

Key words: Drazin inverse, Drazin order, idempotent

中图分类号:

O177.1

庞永锋,魏银,王权. Drazin序的若干性质[J]. 《山东大学学报(理学版)》, 2020, 55(2): 33-42.

PANG Yong-feng, WEI Yin, WANG Quan. Some properties of Drazin order[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(2): 33-42.

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