Weighted MPCEP inverse of an operator between Hilbert spaces (Q2119261)
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scientific article; zbMATH DE number 7499352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted MPCEP inverse of an operator between Hilbert spaces |
scientific article; zbMATH DE number 7499352 |
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Weighted MPCEP inverse of an operator between Hilbert spaces (English)
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29 March 2022
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The concept of invertibility for an operator admits several generalizations in the literature as the weighted core-EP inverse and Moore-Penrose inverse. In this paper, the authors 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. Other results on these notions are given.
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Wg-Drazin inverse
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core-EP inverse
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Moore-Penrose inverse
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Hilbert space
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