Topological transitivity of the normalized maps induced by linear operators




topological transitivity, supercyclicity, projective transformation, linear transformation, cone transitivity


In 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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Author Biography

Pabitra Narayan Mandal, University of Hyderabad

School of Mathematics and Statistics


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How to Cite

P. N. Mandal, “Topological transitivity of the normalized maps induced by linear operators”, Appl. Gen. Topol., vol. 23, no. 1, pp. 135–143, Apr. 2022.