In this chapter we shall prove that there exist stable factorizations which are not spectral factorizations. In fact, for the finite-dimensional case we shall give a complete description of all possible stable minimal factorizations. It will also be shown that stability amounts to the same as the property of being isolated provided the underlying field is complex (which will be the case in this chapter).


Invariant Subspace Bounded Linear Operator Matrix Polynomial Geometric Multiplicity Minimal Factorization 
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© Birkhäuser Verlag AG 2008

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