Weighted EP of Block Operator Matrices
Received:May 30, 2021  Revised:January 11, 2022
Key Word: EP operator   weighted-EP operator   operator matrix   weighted generalized inverse  
Fund ProjectL: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 NameAffiliation
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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