Topological transitivity of the normalized maps induced by linear operators
Keywords:topological transitivity, supercyclicity, projective transformation, linear transformation, cone transitivity
AbstractIn this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result holds for projective transformation as well.
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