Some operators on finite-dimensional non-Archimedean normed spaces

• Autores: M. Babahmed
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 39, Nº 2, 2024, págs. 255-271
• Idioma: inglés
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• Resumen

  • In this paper, we are interested in the study of certain operators in non-Archimedean normed spaces of finite dimension. We introduce the notion of p-delta function, then we characterize the simple operators, the similarities and the expansions. We show if E has an orthogonal basis, then each injective operator on E is the composition of an isometry and an expansion.