Disjoint topological transitivity for weighted translations generated by group actions
-
Chung-Chuan Chen
and
Ali Mohammadi
Abstract
In this note, we give a sufficient and necessary condition for weighted translations, generated by group actions, to be disjoint topologically transitive in terms of the weights, the group element and the measure. The characterization of disjoint topological mixing is obtained as well. Moreover, we apply the results to the quotient spaces of locally compact groups and hypergroups.
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© 2021 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Regular papers
- Algebraic structures for pairwise comparison matrices: Consistency, social choices and Arrow’s theorem
- Polynomial functions on rings of dual numbers over residue class rings of the integers
- Sufficient conditions for p-valent functions
- Upper bounds for analytic summand functions and related inequalities
- Global structure for a fourth-order boundary value problem with sign-changing weight
- On the nonexistence conditions of solution of two-point in time problem for nonhomogeneous PDE
- Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients
- Properties of critical and subcritical second order self-adjoint linear equations
- Korovkin type approximation via statistical e-convergence on two dimensional weighted spaces
- Approximation by a new sequence of operators involving Apostol-Genocchi polynomials
- Poisson like matrix operator and its application in p-summable space
- On the homological and algebraical properties of some Feichtinger algebras
- Disjoint topological transitivity for weighted translations generated by group actions
- On simultaneous limits for aggregation of stationary randomized INAR(1) processes with poisson innovations
- Marshall-Olkin Lindley-Log-logistic distribution: Model, properties and applications
- The shifted Gompertz-G family of distributions: Properties and applications
- On the testing hypothesis in uniform family of distributions with nuisance parameter
- Clarkson inequalities related to convex and concave functions
