A generalization of biorthogonal systems based on Drazin inverse |
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| Authors: | Bing Zheng Zhaoliang Xu |
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| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, P. R. China
2. Department of Basic Science, Shanghai Maritime University, 200135, Shanghai, P. R. China
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| Abstract: | In this paper, the transformations of generating systems of Euclidean space are examined in connection with the Drazin inverse of their Gram matrices and the notion of biorthogonal systems is generalized. The results obtained in this paper can be considered as the extension of some recent results concerning Moore-Penrose biorthogonal systems and reflexiveg-inverse systems in Euclidean spaces. |
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