Geodesic
Ep matrices of adjointable operators on Hilbert C * -modules
Filomat, Tome 35 (2021) no. 10, p. 3287

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DOI

In this paper, we investigate EP modular operator matrices on Hilbert C *-modules setting. The necessary and sufficient conditions for some modular operator matrices to be EP are discussed, based on the generalized Schur complement. These enable us to generalize some results of Meenakshi (1958) [11] for block matrices
DOI : 10.2298/FIL2110287L
Classification : 47A05, 47C15, 46L08, 15A09
Keywords: Hilbert C∗-module, EP operator, Operator matrices, Generalized inverse 
Xiaopeng Li; Junjie Huang; Alatancang Chen. Ep matrices of adjointable operators on Hilbert C * -modules. Filomat, Tome 35 (2021) no. 10, p. 3287 . doi: 10.2298/FIL2110287L
@article{10_2298_FIL2110287L,
     author = {Xiaopeng Li and Junjie Huang and Alatancang Chen},
     title = {Ep matrices of adjointable operators on {Hilbert} {C} * -modules},
     journal = {Filomat},
     pages = {3287 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110287L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110287L/}
}
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