Siberian Mathematical Journal

, Volume 30, Issue 4, pp 580–586 | Cite as

A condition for the closeness of the sets of the invariant subspaces of close matrices in terms of their Jordan structures

  • V. R. Ol'shevskii


Invariant Subspace Jordan Structure Close Matrice 
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Literature Cited

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    I. Gohberg and L. Rodman, “On the distance between lattices of invariant subspaces of matrices,” Linear Algebra Appl.,76, 85–120 (1986).Google Scholar
  2. 2.
    I. Gohberg, P. Lancaster and L. Rodman, Invariant Subspaces of Matrices with Applications, Wiley, New York (1986).Google Scholar
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    I. Gohberg and M. A. Kaashoek, “Unsolved problems in matrix and operator theory. I. Partial multiplicities and additive perturbations,” Integr. Eq. Operator Theory.,1, 278–283 (1978).Google Scholar
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    A. S. Markus and E. É. Parilis, “On changes in the Jordan structure of a matrix under small perturbations,” Mat. Issled.,54, 98–109 (1980).Google Scholar
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    H. den Boer and G. Ph. A. Thijsse, “Semistability of sums of partial multiplicities under additive perturbations,” Integr. Eq. Operator Theory,3, 23–42 (1980).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • V. R. Ol'shevskii

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