On strong α-stability of invariant subspaces of matrices

André C. M. Ran, Leen Roozemond · Birkhäuser Basel eBooks · 1989

Stability properties of invariant subspaces of matrices have been studied extensively the last decade. The first results on stability of invariant subspaces were obtained independently in 1979 by Campbell and Daughtry [CD] and Bart, Gohberg and Kaashoek [BGK]. Recently a complete theory on stability of invariant subspaces was laid down in a book by Gohberg, Lancaster and Rodman [GLR]. The development of this theory was chiefly done by mathematicians from the ‘Gohberg school’. Our aim in this paper is to add a little bit to this beautiful theory.

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