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Faber-hypercyclic semigroups of linear operators

20243 citationsOpen accessChouaib Doukkali University

Abstract

In this research, the ?-hypercyclic and ?-transitive behavior are studied within the framework of linear strongly continuous semigroups. We give sufficient constraints on the spectrum of an operator to yield a ?-hypercyclic semigroup. Also, we establish necessary and sufficient conditions on the semigroup to be ?-transitive.

Research topics

  • Holomorphic and Operator Theory
  • Advanced Topics in Algebra
  • Matrix Theory and Algorithms

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DOI: 10.2298/fil2425869k

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