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Weighted MPCEP Inverse of an Operator Between Hilbert Spaces

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Abstract

Using compositions of the weighted core–EP inverse and Moore–Penrose inverse, we solve new systems of operator equations and define three new weighted generalized inverses of a bounded linear operator between two Hilbert spaces, which are called the W-MPCEP inverse, W-CEPMP inverse and W-MPCEPMP inverse. The W-MPCEP inverse extends the notion of the MPCEP inverse for an operator. We give operator matrix forms and some characterizations of W-MPCEP, W-CEPMP and W-MPCEPMP inverses. We also establish maximal classes of operators for which the expressions of W-MPCEP, W-CEPMP and W-MPCEPMP inverses are valid.

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Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, Niš, 18000, Serbia

    Katarina S. Stojanović & Dijana Mosić

Authors
  1. Katarina S. Stojanović
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  2. Dijana Mosić
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Correspondence to Dijana Mosić.

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Communicated by Abbas Salemi.

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The authors are supported by the Ministry of Education, Science and Technological Development, Republic of Serbia, grant no. 174007.

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Stojanović, K.S., Mosić, D. Weighted MPCEP Inverse of an Operator Between Hilbert Spaces. Bull. Iran. Math. Soc. 48, 53–71 (2022). https://doi.org/10.1007/s41980-020-00501-7

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  • DOI: https://doi.org/10.1007/s41980-020-00501-7

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