Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A NOTE ON DISCRETE SEMIGROUPS OF BOUNDED LINEAR OPERATORS ON NON-ARCHIMEDEAN BANACH SPACES

  • Blali, Aziz (Department of Mathematics and Computer Science Sidi Mohamed Ben Abdellah University) ;
  • Amrani, Abdelkhalek El (Department of Mathematics and Computer Science Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar El Mahraz) ;
  • Ettayb, Jawad (Department of Mathematics and Computer Science Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar El Mahraz)
  • Received : 2021.02.01
  • Accepted : 2021.05.25
  • Published : 2022.04.30
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Abstract

Let A ∈ B(X) be a spectral operator on a non-archimedean Banach space over an algebraically closed field. In this note, we give a necessary and sufficient condition on the resolvent of A so that the discrete semigroup consisting of powers of A is uniformly-bounded.

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Acknowledgement

The authors are greatly indebted to the editor and the referee for many valuable comments and suggestions improving the first version of this paper.

References

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