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A short elementary proof of the Gearhart-Pr\"uss theorem for bounded semigroups

Functional Analysis 2024-09-10 v2
Authors: Filippo Dell'Oro , David Seifert
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Abstract

We present a short elementary proof of the Gearhart-Pr\"uss theorem for bounded C0C_0-semigroups on Hilbert spaces.

Keywords

gearhart-prüss theorem bounded semigroups c0-semigroups hilbert spaces elementary proof

Cite

@article{arxiv.2206.06078,
  title  = {A short elementary proof of the Gearhart-Pr\"uss theorem for bounded semigroups},
  author = {Filippo Dell'Oro and David Seifert},
  journal= {arXiv preprint arXiv:2206.06078},
  year   = {2024}
}

Comments

Accepted for publication in the Proceedings of the conference 'Control & Inverse Problems' (Monastir, Tunisia, May 2022), Springer Nature

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