Topological transitivity of the normalized maps induced by linear operators | Zendy

Pabitra Narayan Mandal | Zendy

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Topological transitivity of the normalized maps induced by linear operators

Author(s) -

Pabitra Narayan Mandal

Publication year - 2022

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2022.15613

Subject(s) - mathematics , transitive relation , linear map , simple (philosophy) , dimension (graph theory) , pure mathematics , transformation (genetics) , infinity , space (punctuation) , linear space , projective test , linear operators , topology (electrical circuits) , discrete mathematics , combinatorics , mathematical analysis , computer science , bounded function , philosophy , biochemistry , chemistry , epistemology , gene , operating system

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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