Some operators on finite-dimensional non-Archimedean normed spaces
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https://doi.org/10.17398/Palabras clave:
Non-Archimedean normed space, t-Orthogonal basis, p-delta function, Simple operator, Similarity, Isometry, ExpansionResumen
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.
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Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.