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math.FA2026
On Certain forms of Transitivities for Linear Operators
Nayan Adhikary, Anima Nagar
In this article we give several characterizations for various transitivity properties for linear operators. We define a general form of `Hypercyclicity Criterion' using a Furstenbe…
math.DS2026
On Transitivities for Skew Products
Nayan Adhikary, Anima Nagar
The dual concepts of `universality' and `hypercyclicity' are better understood and studied as `topological transitivity'. In this article we consider transitivity properties of ske…