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Abstract
Given two subspaces V
1 and V
2 of we prove necessary and sufficient conditions for the existence and for the uniqueness of a diagonal matrix D such that V
1=DV
2. We apply these to prove a necessary condition and a sufficient condition for the uniqueness of a Lyapunov scaling factor of a given Lyapunov diagonally semislable matrix and we conjecture a necessary and sufficient condition.
∗The research of this author was supported in part by NSF grants MCS 80-26132 and DMS-8320189.
∗The research of this author was supported in part by NSF grants MCS 80-26132 and DMS-8320189.
Notes
∗The research of this author was supported in part by NSF grants MCS 80-26132 and DMS-8320189.