| Weighted EP of Block Operator Matrices |
| Received:May 30, 2021 Revised:January 11, 2022 |
| Key Words:
EP operator weighted-EP operator operator matrix weighted generalized inverse
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11961052; 11761029) and the Natural Science Foundation of Inner Mongolia (Grant No.2021MS01006). |
| Author Name | Affiliation | | Xiaopeng LI | School of Mathematical Sciences, Inner Mongolia University, Inner Mongolia 010021, P. R. China | | Junjie HUANG | School of Mathematical Sciences, Inner Mongolia University, Inner Mongolia 010021, P. R. China | | Alatancang CHEN | School of Mathematical Sciences, Inner Mongolia University, Inner Mongolia 010021, P. R. China
Inner Mongolia Normal University, Inner Mongolia 010022, P. R. China |
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| Abstract: |
| In this paper, we introduce and study the weighted Moore-Penrose invertible and weighted-EP of block operator matrices in the context of Hilbert spaces, based on the weighted generalized Schur complement. Furthermore, an application of the weighted EP operator in operator equations is given. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.03.002 |
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