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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Wang, G., Wei, Y., Qiao, S. (2018). Operator Drazin Inverse. In: Generalized Inverses: Theory and Computations. Developments in Mathematics, vol 53. Springer, Singapore. https://doi.org/10.1007/978-981-13-0146-9_12
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DOI: https://doi.org/10.1007/978-981-13-0146-9_12
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