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Erschienen in:
Equation Solving Generalized Inverses Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

12. Operator Drazin Inverse

verfasst von : Guorong Wang, Yimin Wei, Sanzheng Qiao

Erschienen in: Generalized Inverses: Theory and Computations

Verlag: Springer Singapore

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Abstract

Let X be a Hilbert space and L(X) be the vector space of the linear operators from X into X. We denote the set of bounded linear operators from X into X by B(X). In this chapter, we will investigate the definition, basic properties, representation theorem and computational methods for the Drazin inverse of an operator \(T \in B(X)\), \(\mathcal {R}(T^k)\) is closed, where \(k=\mathrm {Ind}(T)\) is the index of T.

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Vorheriges Kapitel Moore-Penrose Inverse of Linear Operators
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Metadaten
Titel
Operator Drazin Inverse
verfasst von
Guorong Wang
Yimin Wei
Sanzheng Qiao
Copyright-Jahr
2018
Verlag
Springer Singapore
Buch
Generalized Inverses: Theory and Computations

Print ISBN: 978-981-13-0145-2

Electronic ISBN: 978-981-13-0146-9

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-981-13-0146-9_12