Literature Cited
I. Gohberg and L. Rodman, “On the distance between lattices of invariant subspaces of matrices,” Linear Algebra Appl.,76, 85–120 (1986).
I. Gohberg, P. Lancaster and L. Rodman, Invariant Subspaces of Matrices with Applications, Wiley, New York (1986).
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).
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).
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).
Additional information
Kishinev. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 30, No. 4, 102–110, July–August, 1989.
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Ol'shevskii, V.R. A condition for the closeness of the sets of the invariant subspaces of close matrices in terms of their Jordan structures. Sib Math J 30, 580–586 (1989). https://doi.org/10.1007/BF00971758
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DOI: https://doi.org/10.1007/BF00971758