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The Expression of the Generalized Drazin Inverse of A-CB

Author: TuDengPing
Tutor: LiuXiaoJi
School: Guangxi University for Nationalities
Course: Applied Mathematics
Keywords: Banach space generalized Drazin inverse Core inverse spectral idempotent operator quasinilpotent
CLC: O151.21
Type: Master's thesis
Year: 2011
Downloads: 8
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Abstract


In this note, we mainly study the generalized Drazin inverse of A—CB over Ba-nach spaces stemd from the Drazin inverse and present its expressions under certain circumstance. The paper is organized as follows:In chapter 1, we give some required preparative knowledge including general sym-bols, definitions and basic lemmas.In chapter 2, we investigate the generalized Drazin inverse of A—CB over Banach spaces stemd from the Drazin inverse, and present its expressions under some conditions.In chapter 3, we disscuse some character to the core inverse of operator in the cor-ressponding to the point 0 eigenprojection, studies the relation to the two matrix of the same eigenprojection of the core inverse of operator and gives the pertubation of the core inverse in the case of the same eigenprojection.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Theory of algebraic equations,linear algebra > Linear Algebra > Matrix theory
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