Convex-Cyclicity and K-Transitivity Of Semigroups of Operators on Finite and Infinite Dimensional Spaces
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Department of Mathematics, H.N.B. Garhwal Central University, Srinagar, Uttarakhand ,IN
Abhay Kumar
DOI:
https://doi.org/10.18311/jims/2024/30002Keywords:
Convex-cyclic operator, E-convex-cyclic operator, Convex cone transitive, Somewhere dense orbitsAbstract
We study convex-cyclicity, various weak notions of convexcyclicity, and their relation to somewhere density. Further, we give another proof that does not use the structure theorem of the result that there does not exist a k-transitive semigroup T of matrices for k ≥ 2 given by Adlene Ayadi.
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Copyright (c) 2024 Abhay Kumar
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2022-10-12
Published 2024-01-01
References
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