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Characterizations of DMP inverse in a Hilbert space - MaRDI portal

Characterizations of DMP inverse in a Hilbert space (Q331795)

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scientific article; zbMATH DE number 6644552
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Characterizations of DMP inverse in a Hilbert space
scientific article; zbMATH DE number 6644552

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    Characterizations of DMP inverse in a Hilbert space (English)
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    27 October 2016
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    This paper extends the DMP inverse introduced in [the reviewer and \textit{Y.-M. Wei}, Appl. Math. Comput. 141, No. 2--3, 471--476 (2003; Zbl 1033.15003)] from matrices to operators on Hilbert spaces. The main tool used here is a triangular matrix representation for a bounded linear operator and its Moore-Penrose and Drazin expressions.
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    DMP inverse
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    Drazin inverse
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    MP inverse
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    idempotent
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