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 ...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.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.1196105211761029)the Natural Science Foundation of Inner Mongolia(Grant No.2021MS01006)。
文摘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.
