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Disjoint hypercyclic weighted translations on locally compact hausdorff spaces

  • Ya Wang EMAIL logo and Ze-Hua Zhou
Published/Copyright: May 21, 2019
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 69 Issue 3

Abstract

Let G be a locally compact second countable Hausdorff space with a positive regular Borel measure λ, where λ is invariant under a continuous injective mapping φ : G → G. We characterize the disjoint hypercyclicity of finite weighted translations generated by φ acting on the weighted space Lp(G, ω) (1 ≤ p < ∞).

MSC 2010: 47A16; 47B38; 46E15
Keywords: disjoint hypercyclic; weighted translation; locally compact Hausdorff space

  1. (Communicated by Gregor Dolinar)

Acknowledgement

We would like to thank the referees for careful reading and many helpful suggestions.

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Received: 2017-10-18
Accepted: 2018-08-27
Published Online: 2019-05-21
Published in Print: 2019-06-26

© 2019 Mathematical Institute Slovak Academy of Sciences

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  7. Basic semirings
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https://doi.org/10.1515/ms-2017-0254
Keywords for this article
disjoint hypercyclic; weighted translation; locally compact Hausdorff space

Articles in the same Issue

  1. Regular papers
  2. The life jubilee of Prof. RNDr. Sylvia Pulmannová, DrSc.
  3. Perfect 1-factorizations
  4. A topological duality for strong Boolean posets
  5. On the Diophantine equations x2 + 2α 3β 19γ = yn and x2 + 2α 3β 13γ = yn
  6. Tribonacci numbers and primes of the form p = x2 + 11y2
  7. Basic semirings
  8. A conjecture for varieties of completely regular semigroups
  9. Uniqueness of meromorphic function with its shift operator under the purview of two or three shared sets
  10. Differential subordination results for Mittag-Leffler type functions with bounded turning property
  11. Mittag-Leffler stability for non-instantaneous impulsive Caputo fractional differential equations with delays
  12. Asymptotically periodic behavior of solutions of fractional evolution equations of order 1 < α < 2
  13. On the polynomial entropy for morse gradient systems
  14. Quantitative approximation by Stancu-Durrmeyer-Choquet-Šipoš operators
  15. A note on non-linear ∗-Jordan derivations on ∗-algebras
  16. Disjoint hypercyclic weighted translations on locally compact hausdorff spaces
  17. Some new results on real hypersurfaces with generalized Tanaka-Webster connection
  18. Relative topological properties of hyperspaces
  19. Cohomology of torus manifold bundles
  20. The Menger and projective Menger properties of function spaces with the set-open topology
  21. Asymptotic behavior of the record values in a stationary Gaussian sequence, with applications
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