Topological transitivity of the normalized maps induced by linear operators

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Mandal - Topological transitivity of the normalized maps induced by linear operators.pdf (374.91 KB)

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2022-04-01

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https://riunet.upv.es/handle/10251/182886

Cita bibliográfica

Mandal, PN. (2022). Topological transitivity of the normalized maps induced by linear operators. Applied General Topology. 23(1):135-143. https://doi.org/10.4995/agt.2022.15613

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Resumen

[EN] 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.

Palabras clave

Topological transitivity, Supercyclicity, Projective transformation, Linear transformation, Cone transitivity

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2022.15613

Versión del editor

https://doi.org/10.4995/agt.2022.15613

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Applied General Topology - Vol 23, No 1 (2022)