- Volume 25 Issue 4
In this paper, we present the reprentation of all operators B which are Drazin invertible and sharing the spectral projections at 0 with a given Drazin invertible operator A. Meanwhile, some related results for EP operators with closed range are obtained.
Drazin inverse;spectral projection;equation of operator
- A. Ben-Israel and T. Greville, Generalized Inverses: Theory and Applications, Second ed., Springer-Verlag, New York, 2003.
- S. L. Campbell, Recent Applications of Generalized Inverses, Pitman, London, 1982.
- H.-K. Du and C. Y. Deng, The representation and characterization of Drazin inverses of operators on a Hilbert space, Linear Algebra Appl. 407 (2005), 117–124. https://doi.org/10.1016/j.laa.2005.04.030
- N. Castro Gonzalez, J. J. Koliha, and Y. M. Wei, Error bounds for perturbation of the Drazin inverse of closed operators with equal spectral projections, Applicable Analysis 81 (2002), 915–928. https://doi.org/10.1080/0003681021000004474a
- N. Castro Gonzalez, J. J. Koliha, and Y. M. Wei, Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero, Linear Algebra Appl. 312 (2000), 181–189. https://doi.org/10.1016/S0024-3795(00)00101-4
- N. Castro Gonzalez and J. Velez-Cerrada, Characterizations of matrices whose eigenprojections at zero equal to a fixed perturbation, Appl Math Comput. 159 (2004), 613–623. https://doi.org/10.1016/j.amc.2003.09.027
- J. J. Koliha and I. Strasraba, Power bounded and exponentially bounded matrices, Appl. Math. Comput. 44 (1999), 289–308. https://doi.org/10.1023/A:1023032629988
- Y. M. Wei, On the perturbation of the group inverse and oblique projections, Appl. Math. Comput. 98 (1999), 29–42. https://doi.org/10.1016/S0096-3003(97)10151-5
- Y. M. Wei and G. R. Wang, The perturbation theory for the Drazin inverse and its applications, Linear Algebra Appl. 258 (1997), 179–186. https://doi.org/10.1016/S0024-3795(96)00159-0
연구 과제 주관 기관 : National Natural Science Foundation of Anhui