Block similarity invariants of restrictions to (A, B)-invariant subspaces Original Research Article

We generalize some properties of invariant subspaces of endomorphisms to (A, B)-invariant subspaces. In particular we show that in appropriate bases the pair (A, B) can be written asimage where (A1, B1) is the pair of the restriction of (A, B) to the (A, B)-invariant subspace.