If this is the case, by the spectral theorem there is a splitting of into two invariant subspaces, (and therefore, a corresponding splitting of into two operators and , i.e. ), such that and . Also, for any greater than the spectral radius of both and there exists an equivalent (box-type) norm such that
In particular, can be chosen smaller than , so that and are contractions.
|Date of creation||2013-03-22 13:39:34|
|Last modified on||2013-03-22 13:39:34|
|Last modified by||Koro (127)|
|Synonym||linear hyperbolic isomorphism|