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de Nova-Vázquez, Mónica
Journal of dynamical and control systems, 09/2023, Volume: 29, Issue: 3Journal Article
Let X , Y be two linear subspaces of the m -dimensional complex space ℂ m with m > 1. The dimensions of the subspaces X and Y are k and m − k respectively and let F : ℂ m → ℂ m be a non-degenerate linear operator. In this work, we study the properties of the intersection between the subspace Y and the n -iteration of the subspace X under F . In the case when the dimension of the subspace X is either one or two, we give some results about a geometrical classification when we obtain an infinite set of moments n of no transversality between the space Y and the n -iteration of X under F .
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