P-adic discrete semigroup of contractions

Let A ∈ B(X) be a spectral operator on a non-archimedean Banach space over Cp. In this paper, we give a necessary and sufficient condition on the resolvent of A so that the discrete semigroup consisting of powers of A is contractions.

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Veröffentlicht in:Proyecciones (Antofagasta, Chile) Chile), 2021, Vol.40 (6), p.1507-1519
Hauptverfasser: El amrani, Abdelkhalek, Ettayb, Jawad, Blali, Aziz
Format: Artikel
Sprache:eng
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Zusammenfassung:Let A ∈ B(X) be a spectral operator on a non-archimedean Banach space over Cp. In this paper, we give a necessary and sufficient condition on the resolvent of A so that the discrete semigroup consisting of powers of A is contractions.
ISSN:0717-6279
0717-6279
DOI:10.22199/issn.0717-6279-4413