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REPRESENTATION OF BOUNDED LINEAR OPERATORS WITH EQUAL SPECTRAL PROJECTIONS AT ZERO

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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.

Abstract

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.

참고문헌 (9)

  1. A. Ben-Israel, "Generalized Inverses: Theory and Applications, Second ed" (2003), Springer-Verlag
  2. S. L. Campbell, "Recent Applications of Generalized Inverses" (1982), Pitman
  3. H.-K. Du, "The representation and characterization of Drazin inverses of operators on a Hilbert space", Linear Algebra Appl., 407, pp.117~124 (2005)
  4. N. Castro Gonz´alez, "Error bounds for perturbation of the Drazin inverse of closed operators with equal spectral projections", Applicable Analysis, 81, pp.915~928 (2002)
  5. N. Castro Gonz´alez, "Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero", Linear Algebra Appl., 312, pp.181~189 (2000)
  6. N. Castro Gonz´alez, "Characterizations of matrices whose eigenprojections at zero equal to a fixed perturbation", Appl Math Comput., 159, pp.613~623 (2004)
  7. J. J. Koliha, "Power bounded and exponentially bounded matrices", Appl. Math. Comput., 44, pp.289~308 (1999)
  8. Y. M. Wei, "On the perturbation of the group inverse and oblique projections", Appl. Math. Comput., 98, pp.29~42 (1999)
  9. Y. M. Wei, "The perturbation theory for the Drazin inverse and its applications", Linear Algebra Appl., 258, pp.179~186 (1997)

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