Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8953096 | Linear Algebra and its Applications | 2018 | 11 Pages |
Abstract
Given an endomorphism A over a finite dimensional vector space having Jordan-Chevalley decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained from the nilpotent part of this decomposition. We extend this result for lattices of characteristic subspaces. We also obtain a generalization of Shoda's theorem about the characterization of the existence of characteristic non hyperinvariant subspaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David Mingueza, M. Eulà lia Montoro, Alicia Roca,