Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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DISKCYCLIC C0-SEMIGROUPS AND DISKCYCLICITY CRITERIA

  • Received : 2021.07.08
  • Accepted : 2021.12.12
  • Published : 2022.03.15
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Abstract

In this article, we prove that diskcyclic C0-semigroups exist on any infinite-dimensional Banach space. We show that a C0-semigroup (Tt)t≥0 satisfies the diskcyclicity criterion if and only if any of Tt's satisfies the diskcyclicity criterion for operators. Moreover, we show that there are diskcyclic C0-semigroups that do not satisfy the diskcyclicity criterion. Also, we state various criteria for diskcyclicity of C0-semigroups based on dense sets and d-dense orbits.

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References

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